On the modular representations of Hecke algebras of type \(D_n\).

DOI10.1016/j.jalgebra.2003.09.047zbMath1127.20003OpenAlexW2084355836MaRDI QIDQ1883009

Nicolas Jacon

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.047

zbMATH Keywords

Kazhdan-Lusztig basesWeyl groupssimple modulesdecomposition matricesIwahori-Hecke algebrasKleshchev bipartitionscanonical subsetsLusztig \(a\)-function

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (5)

Canonical basic sets in type \(B_n\). ⋮ Matrix units and primitive idempotents for the Hecke algebra of type \(D_n\) ⋮ Constructible representations and basic sets in type \(B\). ⋮ Crystal bases and simple modules for Hecke algebras of type $G(p,p,n)$ ⋮ On the decomposition numbers of the Hecke algebra of type \(D_n\) when \(n\) is even.

Cites Work

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• On a theorem of Benson and Curtis
• Representations of Hecke algebras of type \(B_n\)
• Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras
• On pairs of partitions with steadily decreasing parts
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Representations of Hecke Algebras of General Linear Groups
• Hecke Algebras of Type B_n at Roots of Unity
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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