Morita equivalences of cyclotomic Hecke algebras of type G(r, p, n)

DOI10.1515/CRELLE.2009.022zbMath1237.20006arXiv0707.3316MaRDI QIDQ3619637

Jun Hu, Andrew Mathas

Publication date: 8 April 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3316

zbMATH Keywords

Morita equivalencesAriki-Koike algebrassimple modulescyclotomic Hecke algebrasdecomposition numbersdecomposition matricescanonical bases

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08)

Related Items (4)

Skew cellularity of the Hecke algebras of type 𝐺(ℓ,𝑝,𝑛) ⋮ On the decomposition numbers of the Hecke algebra of type \(D_n\) when \(n\) is even. ⋮ Morita equivalences for cyclotomic Hecke algebras of type B and D ⋮ Cyclotomic quiver Hecke algebras and Hecke algebra of $G(r,p,n)$

Cites Work

• Morita equivalences of Ariki-Koike algebras.
• Polynomial functors and wreath products
• Cyclotomic \(q\)-Schur algebras
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Modular representations of Hecke algebras of type \(G(p,p,n)\).
• On decomposition matrices for graded algebras.
• Representation theory of a Hecke algebra of \(G(r,p,n)\)
• Cellular algebras
• Blocks of cyclotomic Hecke algebras.
• The Jantzen sum formula for cyclotomic 𝑞–Schur algebras
• Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$

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