Semisimple lie groups and their representations

Results 1 to 10 of about 20,297 (176)

Commutative avatars of representations of semisimple Lie groups. [PDF]

Proc Natl Acad Sci U S A, 2023
Significance Representations of continuous symmetry groups by matrices are fundamental to mathematical models of quantum physics and also to the Langlands program in number theory.
Hausel T.
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Finite multiplicity theorems for induced representations of semisimple Lie groups and their applications togeneralized Gelfand-Graev representations [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1987
The author announces results whose proofs are to appear elsewhere. They concern finite multiplicity results for induced representations in the following setting. Let \(G\) be a real semisimple Lie group with Cartan involution \(\theta\), let \(Q=LN\) be a parabolic subgroup with \(\theta\)-stable Levi component \(L\), suppose that \(L\) carries an ...
Hiroshi Yamashita
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Classification of irreducible tempered representations of semisimple Lie groups. [PDF]

Proc Natl Acad Sci U S A, 1976
Knapp AW, Zuckerman G.
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Projective representations of real semisimple Lie groups and the gradient map [PDF]

Annals of Global Analysis and Geometry
Let G be a real noncompact semisimple connected Lie group and let ρ:G⟶SL(V)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
L. Biliotti
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Primitive stable representations in higher rank semisimple Lie groups [PDF]

Revista Matemática Complutense, 2015
We study primitive stable representations of free groups into higher rank semisimple Lie groups and their properties. Let Σ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
Inkang Kim, Sungwoon Kim
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Representations of complex semisimple Lie groups and Lie algebras [PDF]

, 1966
1. Notation. The object of this note is to announce some results on representations of complex semisimple Lie groups and Lie algebras. © is a semisimple Lie algebra over C, the field of complex numbers.
K. Parthasarathy, R. Rao, V. Varadarajan
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Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups [PDF]