Module structure of cells in unequal-parameter Hecke algebras
Thomas Pietraho
Source: Nagoya Math. J. Volume 198
(2010), 23-45.
Abstract
A conjecture of Bonnafé, Geck, Iancu, and Lam parametrizes Kazhdan-Lusztig left cells for unequal-parameter Hecke algebras in type $B_{n}$ by families of standard domino tableaux of arbitrary rank. Relying on a family of properties outlined by Lusztig and the recent work of Bonnafé, we verify the conjecture and describe the structure of each cell as a module for the underlying Weyl group.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.nmj/1273496984
Digital Object Identifier: doi:10.1215/00277630-2009-006
Zentralblatt MATH identifier: 05735943
Mathematical Reviews number (MathSciNet): MR2666576
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