Characters of Elements of Finite Order in Lie Groups

DOI10.1137/0605037zbMath0555.22004OpenAlexW1993189395MaRDI QIDQ3218318

Robert V. Moody, Jirí Patera

Publication date: 1984

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0605037

zbMATH Keywords

orbitscharacterssimple Lie groupcomplex representationselements of finite orderdominant weights

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

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Cites Work

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• Simple singularities and simple algebraic groups
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Automorphisms of finite order of semisimple Lie algebras
• The non-abelian simple groups g, |g| < 10⁶— character tables
• Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
• Signatures of finite SU( p,q) representations
• On Conjugacy Classes of Elements of Finite Order in Compact or Complex Semisimple Lie Groups
• On a new relation between semisimple Lie algebras
• Congruence number, a generalization of SU(3) triality
• Fast recursion formula for weight multiplicities
• λ-Mappings Between Representation Rings of Lie Algebras

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