Lie groups and homogeneous spaces

Related Items

On the development of Lie group theory

Uses Software

liealgebra

Cites Work

Transitive actions on Hopf homogeneous spaces
Variational completeness and $K$-transversal domains
Equivariant $K$-theory and completion
A remark on the character ring of a compact Lie group
On non-Riemannian sectional curvature in Riemannian homogeneous spaces
A note on quotients of real algebraic groups by arithmetic subgroups
On (CA) topological groups. II
On fixed points of a compact automorphism group
On compact homogeneous affine manifolds
Isomorphisms between simple real Lie algebras
Resolution of singularities of plane deformations of double rational points
A note on the defining equation of a transitive Lie group
A remark on the Laplace-Beltrami operators attached to Hermitian symmetric pairs
Infinite dimensional primitive Lie algebras
The centralizer of a compact simple subgroup of a classical compact simple Lie group
On the subgroups of the centers of simply connected simple Lie groups - classification of simple Lie groups in the large
Kompakte Unterräume symmetrischer Räume. (Compact subspaces of symmetric spaces)
Foliations and compact Lie group actions
Two classes of classical subgroups of Diff(M)
Local forms of invariant differential operators. I
Splitting theorems and the structure of solvmanifolds
Über das Verhalten endlicher Untergruppen bei Darstellungen kompakter Liegruppen. (On behavior of finite subgroups by representations of compact Lie groups)
Pseudo-Hermitian symmetric spaces
Homogeneous vector bundles on homogeneous spaces
Structure of solvable Lie groups
The periodicity theorem for the classical groups and some of its applications
Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. III
A theorem of Cartan and Guillemin
Semi-simple real subalgebras of non-compact semi-simple real Lie algebras. II
Topological invariants of algebraic functions. II
Homogeneous bounded domains and Siegel domains
Principal orbit types for algebraic transformation spaces in characteristic zero
Affine root systems and Dedekind's $\eta$-function
The classification of real primitive infinite Lie algebras
Extensions et unifications d'algèbres de Lie
The torsion product of modules over Banach algebras
Structure of representations generated by vectors of highest weight
The derivations of the Lie algebras
Canonical factorization of continuous operator functions relative to the circle
Hilbert Space Methods in the Theory of Lie Algebras
On the Derivation Algebras of Lie Algebras
Contraction of Lie Groups
Cartan Decompositions for L ∗ -Algebras
Induced Representations of Lie Algebras and a Theorem of Borel-Weil
Induced Representations of Lie Algebras. II
Branching Rules for Simple Lie Groups
Cohomology and deformations in graded Lie algebras
Mutually reciprocal «Contraction» and «Expansion» of certain lie algebras
Some Remarks on the Construction of Invariants of Semisimple Local Lie Groups
Unstable Homotopy of O(n)
Complexification of Real Analytic Groups
Reflexion spaces and homogeneous symmetric spaces
Canonical Realizations of Lie Symmetry Groups
On a Maximality Property of Discrete Subgroups with Fundamental Domain of Finite Measure
On the Algebra of Representative Functions of an Analytic Group, II
Dynamical symmetries as function groups on dynamical spaces
Deformations of homomorphisms of Lie groups and Lie algebras
On Homogeneous Spaces and Reductive Subalgebras of Simple Lie Algebras
On normal Riemannian homogeneous spaces of rank 1
Homotopy Periodicity of the Classical Lie Groups
Outer Derivations of Lie Algebras
Lie algebras associated with generalized Cartan matrices
Homology Rings of Groups
The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point
Une nouvelle démonstration d'un théorème de R. Bott et B. Kostant
Conjugate classes of orispherical subalgebras in real semisimple Lie algebras
A Note on Simple Anti-Commutative Algebras Obtained from Reductive Homogeneous Spaces
Graded algebras, anti-involutions, simple groups and symmetric spaces
Canonical Definition of Wigner Coefficients in Un
Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
Density and maximality of arithmetic subgroups.
Invariant Differential Operators
Bases for the Representations of U4 in the Chain U4⊃U2+U2
Imbedding of Lie algebras in nonassociative structures
On Homogeneous Spaces, Holonomy, and Non-Associative Algebras
A Note on Triple Systems and Totally Geodesic Submanifolds in a Homogeneous Space
Compact real forms of a complex semi-simple Lie algebra
Über die Erzeugung von eigentlichen Transformationsgruppen
The infinite groups of Lie and Cartan. I: The transitive groups
Lie groups in the foundations of geometry
On derivations of nilpotent Lie algebras
Deformation of transitive Lie algebras
On the K-theory of compact Lie groups
A branching law for the symplectic groups
Analytic continuation of group representations. I - III
Analytic continuation of group representations. IV
Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups
Analytic continuation of group representations. V
Linear differential systems with singularities and an application to transitive Lie algebras
On a differential structure for the group of diffeomorphisms
A study of transformation groups on manifolds
Spiegelungsräume und homogene symmetrische Räume
Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
On subalgebras which survive contraction
Conjugacy classes in Lie algebras and algebraic groups
Compactification of arithmetic quotients of bounded symmetric domains
Domaines d'injectivite de l'application exponentielle
A pattern calculus for tensor operators in the unitary groups
Cohomology of arithmetic subgroups of algebraic groups. I
Cohomology of arithmetic subgroups of algebraic groups. II
A new proof of the Baker-Campbell-Hausdorff formula
Topology of some Kähler manifolds
The geometry and structure of isotropy irreducible homogeneous spaces
Über einen Satz von E. Cartan
Description of contraction operators which are similar to unitary operators
First order deformations of Lie algebra representations, E(3) and Poincaré examples
Simple $L^*$-algebras of classical type
Über Jordan-Algebren und beschränkte symmetrische Gebiete
A formula for the Betti numbers of compact locally symmetric Riemannian manifolds
Reflexion spaces of minimal and maximal torsion
Isotropic Jacobi fields, and Jacobi's equations on Riemannian homogeneous spaces
On the principal orbit type and P.A.Smith theory of SU )p) actions
On the rigidity of semi-direct products of Lie algebras
On generalized graded Lie algebras and geometric structures. I
Über eine Klasse von Lie-Algebren
Verallgemeinerung des $\Pi$-Theorems mit Hilfe spezieller Koordinaten in Lieschen Transformationsgruppen
Homogeneous spaces defined by Lie group automorphisms. I
Ein Beweis der qualitativen Aussage der Campbell-Hausdorff-Formel für analytische Gruppen
Hopf structures attached to K-theory: Hodgkin's theorem
Primitive invariants and conjugate classes of fundamental representations of a compact simply connected Lie group
The homotopy groups of Lie groups of low rank
Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten
On the symmetry groups of simple materials: An application of the theory of Lie groups
On generating subgroups of the Moebius group by pairs of infinitesimal transformations
Local Isomorphism of compact connected Lie groups
On the reduction of n-fold tensor product representations of noncompact groups
On the enveloping algebra and the descending central series of a Lie algebra
Some properties of strictly singular operators
Discrete series of unitary representations of the Lie algebra of the group $O(p, q)$
On the generalized Saletan contractions
Gruppen und Lie-Algebren von rationalen Funktionen
Homogeneous spaces defined by Lie group automorphisms. II
Über eigentliche Transformationsgruppen
Embedding and existence theorems of infinite Lie algebra
A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras
On certain cohomology groups attached to Hermitian symmetric spaces. II
Irreducible Lie algebra extensions of the Poincaré algebra. I: Extensions with abelian kernels
On the uniqueness of the inner product topology in a semi-simple $L^*$- algebra
Sur certains modules dans une algèbre de Lie semi-simple
Jordan-Algebren und symmetrische Räume. I
Homogeneity and some curvature conditions for hypersurfaces
Transformation groups on Riemannian symmetric spaces
Jordan Tripelsysteme und die Koecher-Konstruktion von Lie Algebren
On the K-theory of Lie groups
Application of Morse theory to some homogeneous spaces
Orbits of one-parameter groups. I: Plays in a Lie algebra
Orbits of one-parameter groups. II: Linear group case
On infinitesimal automorphisms of Siegel domains
Über eine Realisierung der hermitischen, symmetrischen Räume
The bounded spherical functions on symmetric spaces
A study on certain homogeneous spaces
On isotropy algebras of a Lie algebra of vector fields which satisfies a certain convergence condition
A new class of Lie algebras
Symmetric spaces which are real cohomology spheres
The adjoint group of Lie groups
Kähler submanifolds of homogeneous almost Hermitian manifolds
Homogeneous Einstein spaces of dimension four
Jordan algebras and exceptional subalgebras of the exceptional algebra $E^ 6$
Morse theory of certain symmetric spaces
Almost algebraic Lie algebras
A class of Riemannian homogeneous spaces
Discrete nilpotent subgroups of Lie groups
Topology of classical groups
Discrete uniform subgroups of Lie groups
On Riemannian symmetric spaces of rank one
Cohomology operations and the homotopy of compact Lie groups. I
Representations of solvable Lie algebras
Orbits of one-parameter groups. III. (Lie group case.)
Differentiable actions of compact connected classical groups. II
Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
Embedding theorems for two-parameter groups of formal power series and related problems
Pseudogroups associated with the one dimensional foliation group. I
Pseudogroups associated with the one dimensional foliation group. II
The representation ring of a compact Lie group
Hamiltonian structures for homogeneous spaces
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
State Labeling of the Irreducible Representations of SUn
Clebsch-Gordan Series for Symmetrized Tensor Products
Stable Subalgebras of Lie Algebras and Associative Algebras
Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
On Subsemigroups of the Projective Group on the Line
On orispherical subgroups of a semisimple Lie group
Irreducible Corepresentations of Groups Having a Compact Simple Lie Group as a Subgroup of Index 2
Limit of Lattices in a Lie Group
Double Structure of a Combined Internal and Space-Time Symmetry Group and Mass Splitting
Invariants and Scalars of Compact Inhomogeneous Unitary Algebras
Number of Polynomial Invariants of Adjoint and Fundamental Compact Inhomogeneous Unitary Algebras
Canonical Realizations of the Rotation Group
Some remarks on duality theorems of Lie groups
Properties of Higher-Order Commutator Products and the Baker-Hausdorff Formula
Realizations of Lie Algebras in Classical Mechanics
Weyl Coefficients in SU(3)
Quaternionic Representations of Compact Metric Groups
KÄHLERIAN MANIFOLDS ADMITTING A TRANSITIVE SOLVABLE AUTOMORPHISM GROUP
Internal Multiplicity Structure and Clebsch-Gordan Series for the Exceptional Group G(2)
FUNDAMENTAL DOMAINS FOR LATTICES IN RANK ONE SEMISIMPLE LIE GROUPS
A SQUARE INTEGRABILITY CRITERION FOR THE COHOMOLOGY OF ARITHMETIC GROUPS
On the Centralizer of a Lattice
Deformation and Contraction of Lie Algebras
Finite-Dimensional Representations of Some Non-Semisimple Lie Algebras
ON THE COMPACT HOMOGENEOUS MINIMAL SUBMANIFOLDS
Derivations of the Lie Algebra of Polynomials Under Poisson Bracket
Remarks on Commuting Involutions
Applications of affine root systems to the theory of symmetric spaces
On Orbits in a Compact Hermitian Symmetric Space
On the Clebsch-Gordan Series of a Semisimple Lie Algebra
A Compatibility Condition Between Invariant Riemannian Metrics and Levi-Whitehead Decompositions on a Coset Space
On An Arcwise Connected Subgroup of A Lie Group
On the Casimir operators associated with any Lie algebra
Representation Theory of SO(4, 1) and E(3, 1): An Explicit Spinor Calculus
The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid
Generating Functions of Classical Groups and Evaluation of Partition Functions
Differentiable Actions of Compact Connected Classical Groups I
Poisson boundaries and envelopes of discrete groups
Internal Multiplicity Structure for the Chain SU(n)⊃SU(n−1)⊃…⊃SU(2)
The automorphism group of a homogeneous almost complex manifold
The Set of Nonprincipal Orbit of an Action on E n
Topology of Some Kähler Manifolds II
A Note on Holomorphic Imbeddings and Compactification of Symmetric Domains
On Uniqueness of Quasi-Split Real Semisimple Lie Algebras
ON THE RIGIDITY OF HYPERBOLIC SPACE FORMS UNDER QUASI-CONFORMAL MAPPINGS
Branching Theorem for the Symplectic Groups
Irreducible Representations of the Five-Dimensional Rotation Group. I
Solution élémentaire d'un opérateur différentiel linéaire invariant à gauche sur un groupe de Lie réel compact et sur un espace homogène réductif compact
The Dual Space of Semi-Simple Lie Groups
Branching Laws, Inner Multiplicities, and Decomposition of Classical Groups
A conjecture concerning transitive subalgebras of Lie algebras
Euclidean Lie Algebras
Lorentzian symmetric spaces
Shorter Notes: Products of Two One-Parameter Subgroups
A Characterization of Rigid Algebras
The geometry and algebra of the representations of the Lorentz group
On Lie groups transitive on compact manifolds
ON LIE GROUPS TRANSITIVE ON COMPACT MANIFOLDS. II
ON LIE GROUPS, TRANSITIVE ON COMPACT MANIFOLDS. III
Some Homogeneous Einstein Manifolds
Homogeneous positively pinched Riemannian manifolds
A nilpotent Lie algebra with nilpotent automorphism group
Lie Algebra Extensions of the Poincaré Algebra
Bases for Irreducible Representations of the Unitary Group in the Symplectic Group Chain
Geodesics and Classical Mechanics on Lie Groups
Equivariant maps of spheres into the classical groups
Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. I. General Theory
Sliced Extensions, Irreducible Extensions, and Associated Graphs: An Analysis of Lie Algebra Extensions. II. Application to Euclidean, Poincaré, and Galilean Algebras
Real Orthogonal Representations of Algebraic Groups
Applications of the semisimple splitting
CONJUGACY OF POLAR FACTORIZATIONS OF LIE GROUPS
Contractions of the Low-Dimensional Real Lie Algebras
Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
CLASSIFICATION OF THE REAL INFINITE SIMPLE AND REAL INFINITE PRIMITIVE LIE ALGEBRAS
On polarizations of certain homogeneous spaces
LIE GROUPS TRANSITIVE ON GRASSMANN AND STIEFEL MANIFOLDS
Linear Imbeddings of Self-Dual Homogeneous Cones
Bases for Irreducible Representations of U2n in the Chain U2n⊃Un+̇Un
Realization of irreducible bounded symmetric domain of type $\left( V \right)$
Realization of irreducible bounded symmetric domain of type $\left( \mathrm{VI} \right)$
Semisimple Subgroups of Semisimple Groups
C 1 Actions of Compact Lie Groups on Compact Manifolds are C 1 -Equivalent to C ∞ Actions
The integrability of characteristics
Representative Functions of Discrete Groups and Solvable Arithmetic Subgroups
Geometry Associated with Semisimple Flat Homogeneous Spaces
On the Ring of Invariant Polynomials on a Semisimple Lie Algebra
On infinitesimal automorphisms of Siegel domains
On infinitesimal affine automorphisms of Siegel domains
Imbedding of Jordan Algebras into Lie Algebras. I
On the K-Theory of Homogeneous Spaces and Conjugate Bundles of Lie Groups
Complex Analytic Groups and Hopf Algebras
On the Fundamental Group of a Simple Lie Group
On a conjecture of G. D. Mostow and the structure of solvmanifolds
On a Theorem of Representation of Lattices
An Introduction to Lie Groups and Lie Algebras, with Applications. III: Computational Methods and Applications of Representation Theory
A Commutativity Criterion for Closed Subgroups of Compact Lie Groups
Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5
A Remark on Mahler's Compactness Theorem
Classification of the simple separable real 𝐿*-algebras
Actions of the Torus on 4-Manifolds. I
The Dimensions of Irreducible Tensor Representations of the Orthogonal and Symplectic Groups
THE SUBGROUP STRUCTURE OF THE HOMOGENEOUS LORENTZ GROUP
Polarisations dans les algèbres de Lie
Simple Quotients of Euclidean Lie Algebras
On the Classification of Lie Pseudo-Algebras
Invariant polynomials and conjugacy classes of real Cartan subalgebras
Finite Transformations in Various Representations of SU(3)
Differentiable Pseudo-Free Circle Actions
Orbits in a Real Reductive Lie Algebra
Examples of compact locally affine spaces
On orbits associated with symmetric spaces
On representations associated with symmetric spaces
Orbits and Representations Associated with Symmetric Spaces
Weight diagrams for lie group representations: A computer implementation of Freudenthal's algorithm in ALGOL and FORTRAN
A Rigidity Theorem for Discrete Subgroups
Primitive subalgebras of exceptional Lie algebras
An algorithm for computingSU(n) invariants
Invariant Pseudo-Differential Operators.
Deformations of Lie subgroups
On Canonical Realizations of Bounded Symmetric Domains as Matrix-Spaces
Multiplicity formulas for certain semisimple Lie groups
Some Applications of Representative Functions to Solvmanifolds
Jordan triple systems, 𝑅-spaces, and bounded symmetric domains
On the Selberg condition for subgroups of solvable Lie groups
Rings of Invariant Polynomials for a Class of Lie Algebras
On Maximal Subsystems of Root Systems
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item