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Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group (1106.3654v3)
Published 18 Jun 2011 in math.QA
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.
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