Irreducible projective modules of the Hecke algebras of a finite Coxeter group

DOI10.1016/0021-8693(89)90258-5zbMath0689.20039OpenAlexW2046898470MaRDI QIDQ581671

Hiroyuki Yamane

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90258-5

zbMATH Keywords

irreducible representationsirreducible projective representationsfinite Coxeter group\(W\)-graphgeneric Hecke algebrairreducible projective modules

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Projective representations and multipliers (20C25)

Related Items

Quantum groups and subfactors of type B, C, and D ⋮ Projective simple modules of symmetric algebras and their specializations with applications to Hecke algebras ⋮ On representations of non-semisimple specialized Hecke algebras ⋮ Singular Polynomials for Finite Reflection Groups ⋮ Semisimplicity of parabolic Hecke algebras ⋮ Certain unipotent representations of finite Chevalley groups and Picard–Lefschetz monodromy

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• A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field