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Module structure of cells in unequal-parameter Hecke algebras
Published online by Cambridge University Press: 11 January 2016
Abstract
A conjecture of Bonnafé, Geck, Iancu, and Lam parametrizes Kazhdan-Lusztig left cells for unequal-parameter Hecke algebras in type Bn 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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- Copyright © Editorial Board of Nagoya Mathematical Journal 2010
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