Module structure of cells in unequal-parameter Hecke algebras

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. © 2010 by The Editorial Board of the Nagoya Mathematical Journal.

About this item

Creator
Thomas Pietraho
Date
2010-09-06
Bowdoin Department or Program
Mathematics
Access
Open access

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