Module structure of cells in unequal parameter Hecke algebras
Representation Theory
2009-02-12 v1
Abstract
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 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.
Cite
@article{arxiv.0902.1907,
title = {Module structure of cells in unequal parameter Hecke algebras},
author = {Thomas Pietraho},
journal= {arXiv preprint arXiv:0902.1907},
year = {2009}
}
Comments
16 pages