Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group

Published 18 Jun 2011 in math.QA | (1106.3654v3)

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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Nanhua Xi

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