On the semisimplicity of Hecke algebras

DOI10.2969/jmsj/04110075zbMath0647.20038OpenAlexW1987475519MaRDI QIDQ1104421

Akihiko Gyoja, Katsuhiro Uno

Publication date: 1989

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04110075

zbMATH Keywords

length functiongeneric Hecke algebrafinite Coxeter system

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (18)

James' conjecture for Hecke algebras of exceptional type. I. ⋮ A mixed hook-length formula for affine Hecke algebras. ⋮ Unnamed Item ⋮ The hook fusion procedure for Hecke algebras. ⋮ Monodromy of hypergeometric functions for dihedral groups ⋮ SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS ⋮ Topological quantum field theories from Hecke algebras ⋮ Representation theory of the Yokonuma-Hecke algebra. ⋮ Affine Hecke algebras and their representations ⋮ On representations of non-semisimple specialized Hecke algebras ⋮ The \(q\)-analogue of the alternating group and its representations. ⋮ Cyclic generators for irreducible representations of affine Hecke algebras. ⋮ Singular Polynomials for Finite Reflection Groups ⋮ Irreducible projective modules of the Hecke algebras of a finite Coxeter group ⋮ Quantum multilinear algebra ⋮ A \(q\)-analogue of derivations on the tensor algebra and the \(q\)-Schur-Weyl duality ⋮ Semisimplicity of parabolic Hecke algebras ⋮ The decomposition numbers of the Hecke algebra of type \(F_ 4\)

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