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

2011/06/18 by Xi, Nanhua
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/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.

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