Algorithms for representation theory of real reductive groups

DOI10.1017/S1474748008000352zbMath1221.22017arXiv0807.3093MaRDI QIDQ3616458

Fokko du Cloux, Jeffrey D. Adams

Publication date: 25 March 2009

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.3093

zbMATH Keywords

algorithmsLie groupsrepresentation theoryreal reductive groupsadmissible representationscomputational representation theory

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Representations of Lie and linear algebraic groups over local fields (22E50)

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Uses Software

• Atlas of Lie Groups

Cites Work

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• Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
• The Bruhat order on symmetric varieties
• The Langlands classification and irreducible characters for real reductive groups
• On the characters of the discrete series. The Hermitian symmetric case
• Representations of reductive groups over finite fields
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• L-Groups, Projective Representations, and the Langlands Classification
• ON THE CONJUGACY OF REAL CARTAN SUBALGEBRAS. I

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