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Module structure of cells in unequal-parameter Hecke algebras

Module structure of cells in unequal-parameter Hecke algebras

Abstract A conjecture of Bonnafé, Geck, Iancu, and Lam parametrizes 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 Lusztig and the recent work of Bonnafé, we verify the conjecture and …