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A \(q\)-analogue of the Coxeter complex

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Publication:1325072
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DOI10.1006/jabr.1994.1090zbMath0836.20055OpenAlexW2094147700MaRDI QIDQ1325072

Andrew Mathas

Publication date: 3 July 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1090


zbMATH Keywords

representationshomologyfinite Coxeter groupsCoxeter complexchain complexgeneric Hecke algebrastop homology modules


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Homological methods in group theory (20J05) Cohomology theory for linear algebraic groups (20G10)


Related Items

The Euler characteristic of a Hecke algebra. ⋮ Generic and \(q\)-rational representation theory ⋮ (\(q,t\))-analogues and \(GL_{n}({\mathbb{F}}_{q})\) ⋮ A two-sided \(q\)-analogue of the Coxeter complex. ⋮ Approximation characteristics for diagonal operators in different computational settings ⋮ Stratifying endomorphism algebras associated to Hecke algebras ⋮ Linear average and stochastic \(n\)-widths of Besov embeddings on Lipschitz domains ⋮ 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra



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