Filtrations on the Mackey decomposition for cyclotomic Hecke algebras.

DOI10.1016/S0021-8693(02)00075-3zbMath1059.20012OpenAlexW2064715776MaRDI QIDQ1849099

Monica Vazirani

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00075-3

zbMATH Keywords

Hecke algebrasGrothendieck groupsrepresentations of symmetric groupsirreducible modulescentral characters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

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A combinatorial categorification of the tensor product of the Kirillov-Reshetikhin crystal \(B^{1,1}\) and a fundamental crystal, Hecke-Clifford superalgebras, crystals of type 𝐴_{2ℓ}⁽²⁾ and modular branching rules for ̂𝑆_{𝑛}, Strong multiplicity one theorems for affine Hecke algebras of type \(A\)., On the Mackey formulas for cyclotomic Hecke algebras and categories \(\mathcal{O}\) of rational Cherednik algebras

Cites Work

• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Strong multiplicity one theorems for affine Hecke algebras of type \(A\).
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