On the homological construction of the Steinberg representation

DOI10.1016/0022-4049(93)90065-2zbMath0790.20025OpenAlexW2021212152MaRDI QIDQ1802144

Ahmed A. Khammash

Publication date: 1 September 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90065-2

zbMATH Keywords

Steinberg moduleTits complexsplit \(BN\)-pairSolomon-Tits theorem\(G\)-fixed elementcharacteristic-free characterizationhomology \(kG\)-module

Mathematics Subject Classification ID

Representations of finite groups of Lie type (20C33) Groups with a (BN)-pair; buildings (20E42)

Related Items (2)

0-Hecke algebra actions on coinvariants and flags ⋮ On the modular composition factors of the Steinberg representation

Cites Work

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• The Steinberg component of a finite group with a split (B,N)-pair
• The number of trivial composition factors of the Steinberg module
• A note on a theorem of Solomon-Tits
• Prime Power Representations of Finite Linear Groups II
• A New Proof of a Theorem of Solomon-Tits

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