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

Vol. 13 No. 3 (2018) P.351~P.363

DOI:	https://doi.org/10.21915/BIMAS.2018304
	10.21915/BIMAS.2018304

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
Affine Weyl group, canonical left cell, lowest two-sided cell.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: Primary 20C08.

MILESTONES

Received: 2016-08-01
Revised : 2016-12-19
Accepted: 2016-12-23

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