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arXiv:0902.1907 [math.RT]AbstractReferencesReviewsResources

Module structure of cells in unequal parameter Hecke algebras

Thomas Pietraho

Published 2009-02-11Version 1

A conjecture of C. Bonnaf\'e, M. Geck, L. Iancu, and T. Lam parameterizes 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 G. Lusztig and the recent work of C. Bonnaf\'e, we verify the conjecture and describe the structure of each cell as a module for the underlying Weyl group.

Comments: 16 pages
Categories: math.RT
Subjects: 20C08
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