Morita equivalence for blocks of Hecke algebras of symmetric groups

DOI10.1006/jabr.1996.6988zbMath0883.20009OpenAlexW2006558862MaRDI QIDQ1365018

Thomas Jost

Publication date: 22 March 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6988

zbMATH Keywords

Hecke algebrasMorita equivalencesendomorphism ringsSpecht modulesrepresentationspermutation modulesdecomposition matricesblocks of symmetric groupsbranching theorem

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Module categories in associative algebras (16D90) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (13)

The quasihereditary structure of the Auslander-Dlab-Ringel algebra ⋮ Adjustment matrices for weight three blocks of Iwahori-Hecke algebras. ⋮ Unnamed Item ⋮ Hochschild cohomology rings of tame Hecke algebras. ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ James's conjecture holds for weight four blocks of Iwahori-Hecke algebras. ⋮ Cellular bases for algebras with a Jones basic construction ⋮ Representation type of Hecke algebras of type 𝐴 ⋮ SPECHT MODULES FOR ARIKI-KOIKE ALGEBRAS ⋮ Cellularity and the Jones basic construction. ⋮ On cellular algebras with Jucys Murphy elements. ⋮ Batalin-Vilkovisky structure on Hochschild cohomology of tame Hecke algebras of type \(\mathbf{A}\) ⋮ Morita equivalence for blocks of Hecke algebras of type \(B\)

Cites Work

• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• On the representation theory of the symmetric groups and associated Hecke algebras
• Specht modules and symmetric groups
• The representation theory of the symmetric groups
• Representations of Hecke Algebras of General Linear Groups
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
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