Nagoya Mathematical Journal

Module structure of cells in unequal-parameter Hecke algebras

Thomas Pietraho

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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.

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Nagoya Math. J., Volume 198 (2010), 23-45.

First available in Project Euclid: 10 May 2010

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Primary: 20C08: Hecke algebras and their representations 05E10: Combinatorial aspects of representation theory [See also 20C30]


Pietraho, Thomas. Module structure of cells in unequal-parameter Hecke algebras. Nagoya Math. J. 198 (2010), 23--45. doi:10.1215/00277630-2009-006.

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