Blocks of category \(\mathcal O\) for rational Cherednik algebras and of cyclotomic Hecke algebras of type \(G(r,p,n)\).

zbMath1250.20003arXiv1002.1324MaRDI QIDQ663526

Kentaro Wada

Publication date: 17 February 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1324

zbMATH Keywords

blockscyclotomic Hecke algebrascategory \(\mathcal O\)rational Cherednik algebrasmulti-partitions

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Modular representations and characters (20C20)

Related Items (3)

Crystal of affine \(\widehat{\mathfrak{sl}}_\ell\) and modular branching rules for Hecke algebras of type \(D_n\) ⋮ Defect in cyclotomic Hecke algebras ⋮ Stuttering blocks of Ariki-Koike algebras

Cites Work

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• Cellular algebras
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• Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
• Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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