A family of homology representations of finite groups of type \(B_ n\)

DOI10.1016/0021-8693(86)90191-2zbMath0607.20025OpenAlexW2062737143MaRDI QIDQ1085281

David B. Surowski

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90191-2

zbMATH Keywords

Weyl groupBN-pairprimitive idempotentsCoxeter complexparabolic subgroupendomorphism algebrairreducible submodulesfundamental reflectionsTits complexreduced homology grouptruncated complex

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10) Abstract complexes in algebraic topology (55U05)

Cites Work

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• Truncation and duality in the character ring of a finite group of Lie type
• A reflection sieve for finite BN-pairs of types \(A_n\), \(B_n\) and \(C_n\).
• Duality for representations of a reductive group over a finite field
• Reflection compound representations of groups of type A//n,B//n or \(C_ n\).
• Some aspects of groups acting on finite posets
• Representations of the hyperoctahedral groups
• A decomposition of the group algebra of a finite Coxeter group
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs

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