The representation type of Hecke algebras of type \(B\).

DOI10.1016/S0001-8708(03)00047-1zbMath1065.20007arXivmath/0106185OpenAlexW2018648447MaRDI QIDQ1421395

Andrew Mathas, Susumu Ariki

Publication date: 26 January 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106185

zbMATH Keywords

finite Coxeter groupsPoincaré polynomialsfinite representation typeIwahori-Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

Constructible characters and canonical bases ⋮ Irreducible Specht modules for Iwahori–Hecke algebras of type $B$ ⋮ A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras. ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ Tame representation type of infinitesimal \(q\)-Schur algebras. ⋮ The representation type of Ariki-Koike algebras and cyclotomic \(q\)-Schur algebras. ⋮ Representation type of Schur superalgebras

Cites Work

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• On representations of non-semisimple specialized Hecke algebras
• Cyclotomic \(q\)-Schur algebras
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Cellular algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Representation type of Hecke algebras of type 𝐴
• Brauer trees of hecke algebras
• The Jantzen sum formula for cyclotomic 𝑞–Schur algebras
• Hecke Algebras of Type B_n at Roots of Unity
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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