Elements of compact connected simple Lie groups with prime power order and given field of characters

DOI10.1007/BF01264522zbMath0807.22005OpenAlexW1965753734MaRDI QIDQ1208693

Arturo Pianzola, François Destrempes

Publication date: 16 May 1993

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01264522

zbMATH Keywords

Weyl groupscharactersexponential functionsdepthexponentscyclotomic fieldslatticescharacter valuesnumber of conjugacy classescompact connected simple Lie groupselements of order \(N\)finite-dimensional complex linear representationspolynomial formulaWeyl group orbits

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Semisimple Lie groups and their representations (22E46) Compact groups (22C05) Cyclotomic extensions (11R18)

Related Items (1)

Counting conjugacy classes of elements of finite order in Lie groups

Cites Work

• Unnamed Item
• On conjugacy classes of elements of finite order in complex semisimple Lie groups
• On the arithmetic of the representation ring and elements of finite order in Lie groups
• The rationality of elements of prime order in compact connected simple Lie groups
• Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
• Regular elements of finite reflection groups
• The orders of the finite Chevalley groups
• Characters of Elements of Finite Order in Lie Groups
• On the regularity and rationality of certain elements of finite order in Lie groups.
• On Conjugacy Classes of Elements of Finite Order in Compact or Complex Semisimple Lie Groups
• Invariants of Finite Reflection Groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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