A Morita equivalence theorem for Hecke algebra \({\mathcal H}_q(D_n)\) when \(n\) is even

DOI10.1007/s002290200272zbMath1016.20002OpenAlexW2038587620MaRDI QIDQ1849394

Jun Hu

Publication date: 1 December 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290200272

zbMATH Keywords

Hecke algebrasMorita equivalencesirreducible modules

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

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On double centralizer properties between quantum groups and Ariki-Koike algebras. ⋮ Modular representations of Hecke algebras of type \(G(p,p,n)\). ⋮ The number of simple modules for the Hecke algebras of type \(G(r,p,n)\) (with an appendix by Xiaoyi Cui). ⋮ Mullineux involution and twisted affine Lie algebras ⋮ On tensor spaces over Hecke algebras of type \(B_n\). ⋮ Quasi-parabolic subgroups of the Weyl group of type \(D\). ⋮ Semi-simplicity of Temperley-Lieb algebras of type D ⋮ Matrix units and primitive idempotents for the Hecke algebra of type \(D_n\) ⋮ Crystal of affine \(\widehat{\mathfrak{sl}}_\ell\) and modular branching rules for Hecke algebras of type \(D_n\) ⋮ Crystal bases and simple modules for Hecke algebra of type \(D_n\). ⋮ The representation dimension of Hecke algebras and symmetric groups. ⋮ Blocks of category \(\mathcal O\) for rational Cherednik algebras and of cyclotomic Hecke algebras of type \(G(r,p,n)\). ⋮ Crystal of affine type \(\widehat{A}_{\ell-1}\) and Hecke algebras at a primitive \(2\ell\) th root of unity ⋮ Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(p,p,n)\) ⋮ Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$ ⋮ On the decomposition numbers of the Hecke algebra of type \(D_n\) when \(n\) is even.

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