Abstract
A conjecture of Bonnafé, Geck, Iancu, and Lam parametrizes Kazhdan-Lusztig left cells for unequal-parameter Hecke algebras in type 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.
Citation
Thomas Pietraho. "Module structure of cells in unequal-parameter Hecke algebras." Nagoya Math. J. 198 23 - 45, June 2010. https://doi.org/10.1215/00277630-2009-006
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