English

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

Quantum Algebra 2016-08-03 v3

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.

Keywords

Cite

@article{arxiv.1106.3654,
  title  = {Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group},
  author = {Nanhua Xi},
  journal= {arXiv preprint arXiv:1106.3654},
  year   = {2016}
}

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12 pages