Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group
Vol. 13 No. 3 (2018) P.351~P.363
DOI: || https://doi.org/10.21915/BIMAS.2018304 |
| ||10.21915/BIMAS.2018304 |
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.
Affine Weyl group, canonical left cell, lowest two-sided cell.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: Primary 20C08.
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Revised : 2016-12-19