Representations of complex semisimple Lie groups

DOI10.1007/BF01083883zbMath0338.22010WikidataQ115394224 ScholiaQ115394224MaRDI QIDQ1231026

Publication date: 1976

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Research exposition (monographs, survey articles) pertaining to topological groups (22-02)

Cites Work

Some properties of the Fourier transform on semi-simple Lie groups. I
Sur les représentations unitaires des groupes de Lie algébriques
Integrability of Fourier transforms for unimodular Lie groups
Analytic vectors
Lie algebra cohomology and the generalized Borel-Weil theorem
Non-unitary dual spaces of groups
A convolution integral for Fourier transforms on the group $\text{SL}(2, \mathbb C)$
Harmonic analysis on $SL(n,C)$
Representation of complex semi-simple Lie groups and Lie algebras
Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
Analysis in matrix spaces and some new representations of $SL(N,\mathbb{C})$
A Poisson formula for semi-simple Lie groups
An elementary proof of the Plancherel theorem for the classical groups
Analytic continuation of group representations
Method of orbits in the theory of unitary representations of Lie groups
Restriction of the principal series of $\mathrm{SL}(n,\mathbb C)$ to some reductive subgroups
Une démonstration algébrique d'un théorème de Bott
A duality for symmetric spaces with applications to group representations
On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
Structure of representations generated by vectors of highest weight
Poisson integrals and semisimple groups
Intertwining operators for semisimple groups
On representations of Lie algebras
Irreducible unitary representations of the Lorentz group
Théorie des caractères. I. Algèbres unitaires. II. Définition et propriétés générales des caractéres
The Characters of Semisimple Lie Groups
Sur les représentations induites des groupes de Lie
SPHERICAL FUNCTIONS ON A SEMISIMPLE LIE GROUP
Some Properties of the Fourier Transform on Semi-Simple Lie Groups. Part II
A FORMULA FOR THE MULTIPLICITY OF A WEIGHT
Vecteurs Analytiques Dans Les Representations de Groupes de Lie
Some Properties of the Fourier-Transform on Semisimple Lie Groups. III
A Sufficient Condition for an Integral Operator to Have a Trace.
Vecteurs analytiques dans les représentations des groupes de Lie
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
Lie Group Representations on Polynomial Rings
Uniformly Bounded Representations, II. Analytic Continuation of the Principal Series of Representations of the n x n Complex Unimodular Group
On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
Infinite-dimensional group representations
THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONS
Uniformly bounded representations of 𝑆𝐿(2,𝐶)
Structure of certain induced representations of complex semisimple Lie algebras
Analytic domination by fractional powers of a positive operator
Complex Orthogonal and Antiorthogonal Representation of Lorentz Group
Radon-Fourier transforms on symmetric spaces and related group representations
Measurable, continuous and smooth vectors for semi-groups and group representations
Exponentiation of operator Lie algebras on Banach spaces
Representations of complex semisimple Lie groups and Lie algebras
Uniformly Bounded Representations of SL(2,C)
The Dual Space of Semi-Simple Lie Groups
On the representations of $SL \left( {3, C} \right)$, I
Unitary representations of $SL \left( {n,C} \right)$
Uniformly Bounded Representations III: Intertwining Operators for the Principal Series on Semisimple Groups
Invariant Eigendistributions on a Semisimple Lie Group
Restriction to a parabolic subgroup and irreducibility of degenerate principal series of 𝑆𝑝(2,𝐶)
Theory of group representations
Differential equations of the matrix elements of the degenerate series
Harmonic analysis on semisimple Lie groups
Intégrales d'entrelacement et fonctions de Whittaker
The Dual of a Parabolic Subgroup and a Degenerate Principal Series of Sp(n, C)
On the existence and irreducibility of certain series of representations
Cyclic Vectors and Irreducibility for Principal Series Representations. II
Invariant eigendistributions on semisimple Lie groups
A general Clebsch-Gordan theorem
On H. Weyl’s character formula
Representations of Semisimple Lie Groups on a Banach Space
On Some Applications of the Universal Enveloping Algebra of a Semisimple Lie Algebra
Plancherel Formula for Complex Semisimple Lie Groups
A Theory of Spherical Functions. I
Representations of a Semisimple Lie Group on a Banach Space. I
Representations of semisimple Lie groups. II
The Plancherel Formula For Complex Semisimple Lie Groups
UNIFORMLY BOUNDED REPRESENTATIONS OF GROUPS
On the characters of a semisimple Lie group
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

This page was built for publication: Representations of complex semisimple Lie groups