Equivalence of \(v\)-decomposition matrices for blocks of Ariki-Koike algebras

DOI10.1016/j.jpaa.2024.107639arXiv2301.05153MaRDI QIDQ6117874

Alice Dell'Arciprete

Publication date: 20 March 2024

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05153

zbMATH Keywords

Ariki-Koike algebrasblocks\(v\)-decomposition numbers

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• 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.
• Core blocks of Ariki-Koike algebras.
• A diagrammatic approach to categorification of quantum groups I
• Graded Specht modules
• Graded Induction for Specht Modules
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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