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.
Pietraho, Thomas, "Module structure of cells in unequal-parameter Hecke algebras" (2010). Mathematics Faculty Publications. 37.