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Module structure of cells in unequal-parameter Hecke algebras

Published online by Cambridge University Press:  11 January 2016

Thomas Pietraho
Thomas Pietraho*
Affiliation:
Department of Mathematics, Bowdoin College, Brunswick, Maine 04011, USAtpietrah@bowdoin.edu
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Abstract

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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.

Keywords

20C0805E10
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 198 , June 2010 , pp. 23 - 45
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2010

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