The rationality of elements of prime order in compact connected simple Lie groups
DOI10.1016/0021-8693(91)90119-SzbMath0754.22003WikidataQ115365725 ScholiaQ115365725MaRDI QIDQ1180661
Publication date: 27 June 1992
Published in: Journal of Algebra (Search for Journal in Brave)
Möbius functionconjugacy classescomplex representationscharacter valuescompact connected simple Lie group\(A\)-polynomials\(B\)-polynomialselements of prime ordernumber of elements of the Weyl group
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Polynomials in real and complex fields: factorization (12D05) Semisimple Lie groups and their representations (22E46) Compact groups (22C05) General properties and structure of real Lie groups (22E15)
Related Items (3)
Cites Work
- 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
- Regular elements of finite reflection groups
- The orders of the finite Chevalley groups
- Characters of Elements of Finite Order in Lie Groups
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- 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
- On Counting Types of Symmetries in Finite Unitary Reflection Groups
- Invariants of Finite Reflection Groups
- The Permutation Lemma of Richard Brauer
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