Reflection compound representations of groups of type A//n,B//n or \(C_ n\).

DOI10.1016/0021-8693(82)90109-0zbMath0493.20024OpenAlexW2035118484MaRDI QIDQ1168426

David B. Surowski

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90109-0

zbMATH Keywords

finite Chevalley groupsSteinberg representationhomology modulesfinite group with BN-pairTits complexreflection compound representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (7)

A family of homology representations of finite groups of type \(B_ n\) ⋮ Representations of finite groups ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ Quotients of Coxeter complexes and buildings with linear diagram ⋮ Reflection sieve obstructions in finite groups of type \(D_ n\). ⋮ Reflection compound representations of groups of type \(D_ n\). ⋮ Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings

Cites Work

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• Representations of reductive groups over finite fields
• Coxeter orbits and eigenspaces of Frobenius
• Irreducible representations of finite classical groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The generic degrees of the irreducible characters of e₈
• Homology representations of finite groups of Lie type
• Balanced Cohen-Macaulay Complexes

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