Core blocks of Ariki-Koike algebras.

DOI10.1007/S10801-006-0048-XzbMath1152.20005arXiv0710.5654OpenAlexW2043360467MaRDI QIDQ2458247

Matthew Fayers

Publication date: 31 October 2007

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5654

zbMATH Keywords

weightsAriki-Koike algebrasmultipartitionscore blocks

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (7)

Cores of Ariki-Koike algebras ⋮ Equivalence of \(v\)-decomposition matrices for blocks of Ariki-Koike algebras ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ Graded decomposition numbers of Ariki-Koike algebras for blocks of small weight. ⋮ Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases ⋮ Blocks of cyclotomic Hecke algebras. ⋮ Keys and Demazure crystals for Kac-Moody algebras

Cites Work

• Morita equivalences of Ariki-Koike algebras.
• Weights of multipartitions and representations of Ariki-Koike algebras.
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• Cyclotomic \(q\)-Schur algebras
• Cellular algebras
• Blocks of cyclotomic Hecke algebras.
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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