Lie groups and homogeneous spaces (Q1231023)

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scientific article; zbMATH DE number 3528564

Language	Label	Description	Also known as
English	Lie groups and homogeneous spaces	scientific article; zbMATH DE number 3528564

Statements

scholarly article

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Lie groups and homogeneous spaces (English)

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Journal of Soviet Mathematics

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publication date

1976

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Dmitri Alekseevsky

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describes a project that uses

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MaRDI profile type

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Resolution of singularities of plane deformations of double rational points

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CONJUGACY OF POLAR FACTORIZATIONS OF LIE GROUPS

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Structure of representations generated by vectors of highest weight

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Some properties of strictly singular operators

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Discrete series of unitary representations of the Lie algebra of the group \(O(p, q)\)

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KÄHLERIAN MANIFOLDS ADMITTING A TRANSITIVE SOLVABLE AUTOMORPHISM GROUP

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Description of contraction operators which are similar to unitary operators

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On Lie groups transitive on compact manifolds

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ON LIE GROUPS TRANSITIVE ON COMPACT MANIFOLDS. II

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ON LIE GROUPS, TRANSITIVE ON COMPACT MANIFOLDS. III

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LIE GROUPS TRANSITIVE ON GRASSMANN AND STIEFEL MANIFOLDS

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Topological invariants of algebraic functions. II

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The torsion product of modules over Banach algebras

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Canonical factorization of continuous operator functions relative to the circle

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Über die Erzeugung von eigentlichen Transformationsgruppen

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Über eigentliche Transformationsgruppen

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Weight diagrams for lie group representations: A computer implementation of Freudenthal's algorithm in ALGOL and FORTRAN

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An algorithm for computingSU(n) invariants

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Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group <i>R</i>5

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Jordan algebras and exceptional subalgebras of the exceptional algebra \(E^ 6\)

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Clebsch-Gordan Series for Symmetrized Tensor Products

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Hopf structures attached to K-theory: Hodgkin's theorem

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Primitive invariants and conjugate classes of fundamental representations of a compact simply connected Lie group

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Hamiltonian structures for homogeneous spaces

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Une nouvelle démonstration d'un théorème de R. Bott et B. Kostant

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Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits

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On the K-theory of compact Lie groups

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Equivariant \(K\)-theory and completion

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Almost algebraic Lie algebras

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On a conjecture of G. D. Mostow and the structure of solvmanifolds

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Splitting theorems and the structure of solvmanifolds

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Compactification of arithmetic quotients of bounded symmetric domains

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On the uniqueness of the inner product topology in a semi-simple \(L^*\)- algebra

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Simple \(L^*\)-algebras of classical type

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Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten

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Local Isomorphism of compact connected Lie groups

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An Introduction to Lie Groups and Lie Algebras, with Applications. III: Computational Methods and Applications of Representation Theory

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Canonical Definition of Wigner Coefficients in <i>Un</i>

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A pattern calculus for tensor operators in the unitary groups

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A theorem of Cartan and Guillemin

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Density and maximality of arithmetic subgroups.

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The periodicity theorem for the classical groups and some of its applications

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The Set of Nonprincipal Orbit of an Action on E n

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Homology Rings of Groups

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Lorentzian symmetric spaces

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Local forms of invariant differential operators. I

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Irreducible Lie algebra extensions of the Poincaré algebra. I: Extensions with abelian kernels

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Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. I. General Theory

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Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. II. Application to Euclidean, Poincaré, and Galilean Algebras

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Solution élémentaire d'un opérateur différentiel linéaire invariant à gauche sur un groupe de Lie réel compact et sur un espace homogène réductif compact

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Isotropic Jacobi fields, and Jacobi's equations on Riemannian homogeneous spaces

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On normal Riemannian homogeneous spaces of rank 1

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A class of Riemannian homogeneous spaces

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On Riemannian symmetric spaces of rank one

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On non-Riemannian sectional curvature in Riemannian homogeneous spaces

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Contractions of the Low-Dimensional Real Lie Algebras

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Applications of affine root systems to the theory of symmetric spaces

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Remarks on Commuting Involutions

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Variational completeness and \(K\)-transversal domains

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Isomorphisms between simple real Lie algebras

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The centralizer of a compact simple subgroup of a classical compact simple Lie group

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Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. II

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Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. III

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Bases for Irreducible Representations of the Unitary Group in the Symplectic Group Chain

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State Labeling of the Irreducible Representations of <i>SUn</i>

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Bases for the Representations of <i>U</i>4 in the Chain U4⊃U2+U2

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Bases for Irreducible Representations of <i>U</i>2<i>n</i> in the Chain U2n⊃Un+̇Un

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Polarisations dans les algèbres de Lie

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On subalgebras which survive contraction

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The geometry and algebra of the representations of the Lorentz group

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A nilpotent Lie algebra with nilpotent automorphism group

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Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid

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A new proof of the Baker-Campbell-Hausdorff formula

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Properties of Higher-Order Commutator Products and the Baker-Hausdorff Formula

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Double Structure of a Combined Internal and Space-Time Symmetry Group and Mass Splitting

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Equivariant maps of spheres into the classical groups

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A conjecture concerning transitive subalgebras of Lie algebras

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Lie groups in the foundations of geometry

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Poisson boundaries and envelopes of discrete groups

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Lie Algebra Extensions of the Poincaré Algebra

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A Rigidity Theorem for Discrete Subgroups

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A SQUARE INTEGRABILITY CRITERION FOR THE COHOMOLOGY OF ARITHMETIC GROUPS

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FUNDAMENTAL DOMAINS FOR LATTICES IN RANK ONE SEMISIMPLE LIE GROUPS

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Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups

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Finite-Dimensional Representations of Some Non-Semisimple Lie Algebras

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Primitive subalgebras of exceptional Lie algebras

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On An Arcwise Connected Subgroup of A Lie Group

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Shorter Notes: Products of Two One-Parameter Subgroups

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Orbits of one-parameter groups. I: Plays in a Lie algebra

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Orbits of one-parameter groups. II: Linear group case

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Orbits of one-parameter groups. III. (Lie group case.)

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On the subgroups of the centers of simply connected simple Lie groups - classification of simple Lie groups in the large

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Kähler submanifolds of homogeneous almost Hermitian manifolds

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Real Orthogonal Representations of Algebraic Groups

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A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras

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Infinite dimensional primitive Lie algebras

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The integrability of characteristics

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Verallgemeinerung des \(\Pi\)-Theorems mit Hilfe spezieller Koordinaten in Lieschen Transformationsgruppen

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Über einen Satz von E. Cartan

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Embedding and existence theorems of infinite Lie algebra

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Branching Theorem for the Symplectic Groups

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The bounded spherical functions on symmetric spaces

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Jordan-Algebren und symmetrische Räume. I

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Analytic continuation of group representations. I - III

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Analytic continuation of group representations. IV

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Analytic continuation of group representations. V

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The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point

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Geodesics and Classical Mechanics on Lie Groups

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Über Jordan-Algebren und beschränkte symmetrische Gebiete

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Über eine Klasse von Lie-Algebren

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Über eine Realisierung der hermitischen, symmetrischen Räume

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Complexification of Real Analytic Groups

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On the Algebra of Representative Functions of an Analytic Group, II

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Complex Analytic Groups and Hopf Algebras

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On the K-theory of Lie groups

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Representation Theory of <i>SO</i>(4, 1) and <i>E</i>(3, 1): An Explicit Spinor Calculus

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A remark on the Laplace-Beltrami operators attached to Hermitian symmetric pairs

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Differentiable Actions of Compact Connected Classical Groups I

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Differentiable actions of compact connected classical groups. II

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ON THE COMPACT HOMOGENEOUS MINIMAL SUBMANIFOLDS

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On the principal orbit type and P.A.Smith theory of SU )p) actions

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On isotropy algebras of a Lie algebra of vector fields which satisfies a certain convergence condition

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Realization of irreducible bounded symmetric domain of type $\left( V \right)$

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Realization of irreducible bounded symmetric domain of type $\left( \mathrm{VI} \right)$

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On Canonical Realizations of Bounded Symmetric Domains as Matrix-Spaces

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Homogeneous Einstein spaces of dimension four

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Homogeneous bounded domains and Siegel domains

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A study on certain homogeneous spaces

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Irreducible Representations of the Five-Dimensional Rotation Group. I

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The Dimensions of Irreducible Tensor Representations of the Orthogonal and Symplectic Groups

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On the reduction of n-fold tensor product representations of noncompact groups

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On the enveloping algebra and the descending central series of a Lie algebra

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Pseudogroups associated with the one dimensional foliation group. I

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Pseudogroups associated with the one dimensional foliation group. II

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Imbedding of Jordan Algebras into Lie Algebras. I

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Gruppen und Lie-Algebren von rationalen Funktionen

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On orbits associated with symmetric spaces

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On representations associated with symmetric spaces

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Orbits and Representations Associated with Symmetric Spaces

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Über das Verhalten endlicher Untergruppen bei Darstellungen kompakter Liegruppen. (On behavior of finite subgroups by representations of compact Lie groups)

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Unstable Homotopy of O(n)

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On the generalized Saletan contractions

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Domaines d'injectivite de l'application exponentielle

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On fixed points of a compact automorphism group

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The adjoint group of Lie groups

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Multiplicity formulas for certain semisimple Lie groups

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On a differential structure for the group of diffeomorphisms

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Two classes of classical subgroups of Diff(M)

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Deformation and Contraction of Lie Algebras

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First order deformations of Lie algebra representations, E(3) and Poincaré examples

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Weyl Coefficients in <i>SU</i>(3)

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Spiegelungsräume und homogene symmetrische Räume

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Reflexion spaces of minimal and maximal torsion

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Reflexion spaces and homogeneous symmetric spaces

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Jordan triple systems, 𝑅-spaces, and bounded symmetric domains

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Kompakte Unterräume symmetrischer Räume. (Compact subspaces of symmetric spaces)

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On Subsemigroups of the Projective Group on the Line

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On generating subgroups of the Moebius group by pairs of infinitesimal transformations

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Homotopy Periodicity of the Classical Lie Groups

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Affine root systems and Dedekind's \(\eta\)-function

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On orispherical subgroups of a semisimple Lie group

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Conjugate classes of orispherical subalgebras in real semisimple Lie algebras

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A note on the defining equation of a transitive Lie group

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A formula for the Betti numbers of compact locally symmetric Riemannian manifolds

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On certain cohomology groups attached to Hermitian symmetric spaces. II

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Irreducible Corepresentations of Groups Having a Compact Simple Lie Group as a Subgroup of Index 2

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Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren

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A branching law for the symplectic groups

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The homotopy groups of Lie groups of low rank

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Cohomology operations and the homotopy of compact Lie groups. I

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Number of Polynomial Invariants of Adjoint and Fundamental Compact Inhomogeneous Unitary Algebras

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Invariants and Scalars of Compact Inhomogeneous Unitary Algebras

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Differentiable Pseudo-Free Circle Actions

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Lie algebras associated with generalized Cartan matrices

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A new class of Lie algebras

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Euclidean Lie Algebras

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Simple Quotients of Euclidean Lie Algebras

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ON THE RIGIDITY OF HYPERBOLIC SPACE FORMS UNDER QUASI-CONFORMAL MAPPINGS

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Representative Functions of Discrete Groups and Solvable Arithmetic Subgroups

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Some Applications of Representative Functions to Solvmanifolds

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Realizations of Lie Algebras in Classical Mechanics

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A Remark on Mahler's Compactness Theorem

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On the Casimir operators associated with any Lie algebra

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Linear differential systems with singularities and an application to transitive Lie algebras

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Quaternionic Representations of Compact Metric Groups

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On the Classification of Lie Pseudo-Algebras

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Cohomology and deformations in graded Lie algebras

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Deformations of homomorphisms of Lie groups and Lie algebras

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On the symmetry groups of simple materials: An application of the theory of Lie groups

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Transformation groups on Riemannian symmetric spaces

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Geometry Associated with Semisimple Flat Homogeneous Spaces

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A study of transformation groups on manifolds

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Actions of the Torus on 4-Manifolds. I

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On polarizations of certain homogeneous spaces

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A Characterization of Rigid Algebras

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Stable Subalgebras of Lie Algebras and Associative Algebras

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C 1 Actions of Compact Lie Groups on Compact Manifolds are C 1 -Equivalent to C ∞ Actions

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Lowering and Raising Operators for the Orthogonal Group in the Chain <i>O</i>(<i>n</i>) ⊃ <i>O</i>(<i>n</i> − 1) ⊃ … , and their Graphs

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Foliations and compact Lie group actions

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Canonical Realizations of the Rotation Group

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Canonical Realizations of Lie Symmetry Groups

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Ein Beweis der qualitativen Aussage der Campbell-Hausdorff-Formel für analytische Gruppen

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Homogeneous vector bundles on homogeneous spaces

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On the Clebsch-Gordan Series of a Semisimple Lie Algebra

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Internal Multiplicity Structure for the Chain SU(n)⊃SU(n−1)⊃…⊃SU(2)

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Internal Multiplicity Structure and Clebsch-Gordan Series for the Exceptional Group <i>G</i>(2)

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Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups

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Cohomology of arithmetic subgroups of algebraic groups. I

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A note on quotients of real algebraic groups by arithmetic subgroups

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Cohomology of arithmetic subgroups of algebraic groups. II

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Application of Morse theory to some homogeneous spaces

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Morse theory of certain symmetric spaces

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Topology of classical groups

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Embedding theorems for two-parameter groups of formal power series and related problems

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Representations of solvable Lie algebras

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On the rigidity of semi-direct products of Lie algebras

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Conjugacy classes in Lie algebras and algebraic groups

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Compact real forms of a complex semi-simple Lie algebra

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Deformations of Lie subgroups

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Principal orbit types for algebraic transformation spaces in characteristic zero

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Deformation of transitive Lie algebras

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Mutually reciprocal «Contraction» and «Expansion» of certain lie algebras

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Finite Transformations in Various Representations of <i>SU</i>(3)

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On Uniqueness of Quasi-Split Real Semisimple Lie Algebras

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Invariant polynomials and conjugacy classes of real Cartan subalgebras

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Orbits in a Real Reductive Lie Algebra

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Homogeneity and some curvature conditions for hypersurfaces

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A Note on Simple Anti-Commutative Algebras Obtained from Reductive Homogeneous Spaces

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A Note on Triple Systems and Totally Geodesic Submanifolds in a Homogeneous Space

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On Homogeneous Spaces, Holonomy, and Non-Associative Algebras

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Some Homogeneous Einstein Manifolds

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On Homogeneous Spaces and Reductive Subalgebras of Simple Lie Algebras

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Contraction of Lie Groups

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Some Remarks on the Construction of Invariants of Semisimple Local Lie Groups

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Generating Functions of Classical Groups and Evaluation of Partition Functions

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Imbedding of Lie algebras in nonassociative structures

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A Note on Holomorphic Imbeddings and Compactification of Symmetric Domains

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Linear Imbeddings of Self-Dual Homogeneous Cones

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On derivations of nilpotent Lie algebras

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The derivations of the Lie algebras

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Transitive actions on Hopf homogeneous spaces

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Examples of compact locally affine spaces

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Hilbert Space Methods in the Theory of Lie Algebras

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Cartan Decompositions for L ∗ -Algebras

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The representation ring of a compact Lie group

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Pseudo-Hermitian symmetric spaces

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THE SUBGROUP STRUCTURE OF THE HOMOGENEOUS LORENTZ GROUP

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CLASSIFICATION OF THE REAL INFINITE SIMPLE AND REAL INFINITE PRIMITIVE LIE ALGEBRAS

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The classification of real primitive infinite Lie algebras

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Sur certains modules dans une algèbre de Lie semi-simple

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Dynamical symmetries as function groups on dynamical spaces

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The infinite groups of Lie and Cartan. I: The transitive groups

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Invariant Differential Operators

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On the K-Theory of Homogeneous Spaces and Conjugate Bundles of Lie Groups

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Topology of some Kähler manifolds

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Topology of Some Kähler Manifolds II

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Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

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Extensions et unifications d'algèbres de Lie

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Invariant Pseudo-Differential Operators.

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Semisimple Subgroups of Semisimple Groups

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Some remarks on duality theorems of Lie groups

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On Orbits in a Compact Hermitian Symmetric Space

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On infinitesimal affine automorphisms of Siegel domains

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On the Fundamental Group of a Simple Lie Group

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A remark on the character ring of a compact Lie group

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Rings of Invariant Polynomials for a Class of Lie Algebras

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On generalized graded Lie algebras and geometric structures. I

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On infinitesimal automorphisms of Siegel domains

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On infinitesimal automorphisms of Siegel domains

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Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples

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On the Derivation Algebras of Lie Algebras

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Outer Derivations of Lie Algebras

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Structure of solvable Lie groups

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Applications of the semisimple splitting

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On the Selberg condition for subgroups of solvable Lie groups

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Classification of the simple separable real 𝐿*-algebras

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On the Ring of Invariant Polynomials on a Semisimple Lie Algebra

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Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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Graded algebras, anti-involutions, simple groups and symmetric spaces

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On Maximal Subsystems of Root Systems

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Induced Representations of Lie Algebras and a Theorem of Borel-Weil

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Induced Representations of Lie Algebras. II

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Homogeneous positively pinched Riemannian manifolds

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On a Maximality Property of Discrete Subgroups with Fundamental Domain of Finite Measure

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Discrete nilpotent subgroups of Lie groups

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Limit of Lattices in a Lie Group

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On the Centralizer of a Lattice

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On a Theorem of Representation of Lattices

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The Dual Space of Semi-Simple Lie Groups

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Branching Rules for Simple Lie Groups

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The geometry and structure of isotropy irreducible homogeneous spaces

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Symmetric spaces which are real cohomology spheres

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A Compatibility Condition Between Invariant Riemannian Metrics and Levi-Whitehead Decompositions on a Coset Space

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The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components

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The automorphism group of a homogeneous almost complex manifold

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A Commutativity Criterion for Closed Subgroups of Compact Lie Groups

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Homogeneous spaces defined by Lie group automorphisms. I

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Homogeneous spaces defined by Lie group automorphisms. II

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Derivations of the Lie Algebra of Polynomials Under Poisson Bracket

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Branching Laws, Inner Multiplicities, and Decomposition of Classical Groups

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Discrete uniform subgroups of Lie groups

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On (CA) topological groups. II

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On compact homogeneous affine manifolds

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Identifiers

zbMATH Open document ID

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10.1007/BF01084048

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1231023

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