The reflection representations of some Chevalley groups

DOI10.1016/0021-8693(91)90085-MzbMath0742.20016MaRDI QIDQ1173758

Clive Saunders

Publication date: 25 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Weyl groupreflectioninvolutionsroot systeminduced representationfinite Chevalley groupirreducible complex representationreflection representationfinite group with BN-pair

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Groups with a (BN)-pair; buildings (20E42)

Related Items (2)

The reflection representations of some Chevalley groups ⋮ The set of dominance-minimal roots

Cites Work

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• The reflection representations of some Chevalley groups
• Reduction theorems for characters of finite groups of Lie type
• Principal series representations of finite Chevalley groups
• On centralizer rings and characters of representations of finite groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• Endomorphisms of linear algebraic groups

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