Representations of complex semisimple Lie groups (Q1231026)

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scientific article; zbMATH DE number 3528573

Language	Label	Description	Also known as
English	Representations of complex semisimple Lie groups	scientific article; zbMATH DE number 3528573

Statements

scholarly article

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Representations of complex semisimple Lie groups (English)

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Journal of Soviet Mathematics

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publication date

1976

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D. P. Zhelobenko

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MaRDI profile type

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Structure of representations generated by vectors of highest weight

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Vecteurs analytiques dans les représentations des groupes de Lie

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Theory of group representations

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THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONS

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Method of orbits in the theory of unitary representations of Lie groups

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On H. Weyl’s character formula

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A FORMULA FOR THE MULTIPLICITY OF A WEIGHT

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On the existence and irreducibility of certain series of representations

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Infinite-dimensional group representations

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Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.

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A general Clebsch-Gordan theorem

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Irreducible unitary representations of the Lorentz group

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On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in <i>N</i> Dimensions

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Sur les représentations induites des groupes de Lie

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Vecteurs Analytiques Dans Les Representations de Groupes de Lie

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Une démonstration algébrique d'un théorème de Bott

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Sur les représentations unitaires des groupes de Lie algébriques

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UNIFORMLY BOUNDED REPRESENTATIONS OF GROUPS

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Some properties of the Fourier transform on semi-simple Lie groups. I

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Some Properties of the Fourier Transform on Semi-Simple Lie Groups. Part II

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Some Properties of the Fourier-Transform on Semisimple Lie Groups. III

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Non-unitary dual spaces of groups

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A Poisson formula for semi-simple Lie groups

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On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups

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A Theory of Spherical Functions. I

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Théorie des caractères. I. Algèbres unitaires. II. Définition et propriétés générales des caractéres

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Analytic domination by fractional powers of a positive operator

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Restriction to a parabolic subgroup and irreducibility of degenerate principal series of 𝑆𝑝(2,𝐶)

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The Dual of a Parabolic Subgroup and a Degenerate Principal Series of Sp(n, C)

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On representations of Lie algebras

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On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra

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Representations of Semisimple Lie Groups on a Banach Space

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Plancherel Formula for Complex Semisimple Lie Groups

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Representations of a Semisimple Lie Group on a Banach Space. I

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Representations of semisimple Lie groups. II

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The Plancherel Formula For Complex Semisimple Lie Groups

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On the characters of a semisimple Lie group

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The Characters of Semisimple Lie Groups

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SPHERICAL FUNCTIONS ON A SEMISIMPLE LIE GROUP

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Invariant eigendistributions on semisimple Lie groups

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Invariant Eigendistributions on a Semisimple Lie Group

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Harmonic analysis on semisimple Lie groups

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Radon-Fourier transforms on symmetric spaces and related group representations

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A duality for symmetric spaces with applications to group representations

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Differential equations of the matrix elements of the degenerate series

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Intertwining operators for semisimple groups

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Poisson integrals and semisimple groups

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The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group

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Lie algebra cohomology and the generalized Borel-Weil theorem

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Lie Group Representations on Polynomial Rings

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Uniformly Bounded Representations, II. Analytic Continuation of the Principal Series of Representations of the n x n Complex Unimodular Group

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Uniformly Bounded Representations III: Intertwining Operators for the Principal Series on Semisimple Groups

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Complex Orthogonal and Antiorthogonal Representation of Lorentz Group

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Uniformly bounded representations of 𝑆𝐿(2,𝐶)

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Uniformly Bounded Representations of SL(2,C)

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Harmonic analysis on \(SL(n,C)\)

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Exponentiation of operator Lie algebras on Banach spaces

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Measurable, continuous and smooth vectors for semi-groups and group representations

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Analytic vectors

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Restriction of the principal series of \(\mathrm{SL}(n,\mathbb C)\) to some reductive subgroups

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Representations of complex semisimple Lie groups and Lie algebras

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Representation of complex semi-simple Lie groups and Lie algebras

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A convolution integral for Fourier transforms on the group \(\text{SL}(2, \mathbb C)\)

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An elementary proof of the Plancherel theorem for the classical groups

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Intégrales d'entrelacement et fonctions de Whittaker

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Analysis in matrix spaces and some new representations of \(SL(N,\mathbb{C})\)

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Analytic continuation of group representations

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A Sufficient Condition for an Integral Operator to Have a Trace.

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Integrability of Fourier transforms for unimodular Lie groups

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On the representations of $SL \left( {3, C} \right)$, I

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Unitary representations of $SL \left( {n,C} \right)$

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Structure of certain induced representations of complex semisimple Lie algebras

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Cyclic Vectors and Irreducibility for Principal Series Representations. II

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The Dual Space of Semi-Simple Lie Groups

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Identifiers

zbMATH Open document ID

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10.1007/BF01083883

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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:1231026

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