Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group
arXiv:1106.3654
Abstract
We give some discussions to the relations between canonical left cells and the lowest two-sided cell of an affine Weyl group. In particular, we use the relations to construct irreducible modules attached to the lowest two-sided cell and some one dimensional representations of an affine Hecke algebra.
12 pages