Open AccessCanonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group
Author(s) -
Nanhua Xi
Publication year - 2018
Publication title -
bulletin of the institute of mathematics academia sinica new series
Language(s) - English
Resource type - Journals
eISSN - 2304-7909
pISSN - 2304-7895
DOI - 10.21915/bimas.2018304
Subject(s) - affine transformation , weyl group , group (periodic table) , pure mathematics , mathematics , combinatorics , medicine , physics , quantum mechanics
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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