The Green Correspondence for the Representations of Hecke Algebras of Type A r - 1

DOI10.2307/2154088zbMath0748.20004OpenAlexW4250794449MaRDI QIDQ3991823

Jie Du

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.2307/2154088

zbMATH Keywords

Hecke algebrassymmetric groupGreen correspondencecyclotomic polynomialright coset representativesBrauer homomorphismfree \(R\)-module\(l\)-parabolic subgroup

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (7)

The representation dimension of Hecke algebras and symmetric groups. ⋮ Irreducible representations of \(q\)-Schur superalgebras at a root of unity. ⋮ THE BRAUER HOMOMORPHISM AND THE MINIMAL BASIS FOR CENTERS OF IWAHORI–HECKE ALGEBRAS OF TYPEA^* ⋮ On bases of centres of Iwahori-Hecke algebras of the symmetric group. ⋮ On \(\ell\)-parabolic Hecke algebras of symmetric groups ⋮ On the graded algebras associated with Hecke symmetries ⋮ The Dipper-Du conjecture revisited

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