Representations of affine Hecke algebras and based rings of affine Weyl groups

DOI10.1090/S0894-0347-06-00539-XzbMath1150.20005MaRDI QIDQ3420219

Nanhua Xi

Publication date: 1 February 2007

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

affine Weyl groupsrepresentationsaffine Hecke algebrasbased rings

Mathematics Subject Classification ID

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

Related Items (14)

A new proof for classification of irreducible modules of a Hecke algebra of type \(A_{n-1}\). ⋮ Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group ⋮ Cocenters and representations of affine Hecke algebras ⋮ On the classification of finite dimensional irreducible modules for affine BMW algebras. ⋮ Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. II. ⋮ The lowest two-sided cell of a Coxeter group with complete graph ⋮ Affine cellularity of affine Yokonuma-Hecke algebras ⋮ On the structure of the affine asymptotic Hecke algebras ⋮ Morita equivalence for $k$-algebras ⋮ Conjectures P1--P15 for Coxeter groups with complete graph ⋮ Affine cellular algebras. ⋮ The based ring of the lowest generalized two-sided cell of an extended affine Weyl group ⋮ Cyclic generators for irreducible representations of affine Hecke algebras. ⋮ Affine quantum Schur algebras at roots of unity

Cites Work

• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Representations of Coxeter groups and Hecke algebras
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• 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 \(G(r,1,n)\)
• Cells and modular representations of Hecke algebras
• The based ring of two-sided cells of affine Weyl groups of type ̃𝐴_{𝑛-1}
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Representations of affine Hecke algebras and based rings of affine Weyl groups