Module structure of cells in unequal parameter Hecke algebras

Details Module structure of cells in unequal parameter Hecke algebras Module structure of cells in unequal parameter Hecke algebras

2009-02-11

arxiv.org/abs/0902.1907v1

Mathematics

Representation Theory

16 pages

Scientific paper

A conjecture of C. Bonnaf\'e, M. Geck, L. Iancu, and T. Lam parameterizes 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 G. Lusztig and the recent work of C. Bonnaf\'e, we verify the conjecture and describe the structure of each cell as a module for the underlying Weyl group.

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