A new proof for classification of irreducible modules of a Hecke algebra of type \(A_{n-1}\).

DOI10.1016/j.jalgebra.2008.08.019zbMath1171.20005arXiv0802.3418OpenAlexW2962841493MaRDI QIDQ834850

Nanhua Xi

Publication date: 27 August 2009

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

Full work available at URL: https://arxiv.org/abs/0802.3418

zbMATH Keywords

irreducible modulesHecke algebras of symmetric groups

Mathematics Subject Classification ID

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

Cites Work

• Proof of the Deligne-Langlands conjecture for Hecke algebras
• On a theorem of Benson and Curtis
• Representations of Coxeter groups and Hecke algebras
• The representation theory of the symmetric groups
• The representations of Hecke algebras of type \(A_ n\)
• Modular representation theory over a ring of higher dimension with applications to Hecke algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Representations of affine Hecke algebras and based rings of affine Weyl groups
• Representations of Hecke Algebras of General Linear Groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
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