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2018 / September Volume 13 No.3
Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group
Published Date
2018 / September
Title
Canonical Left Cells and the Lowest Two-sided Cell in an Affine Weyl Group
Author
Nanhua Xi
Keyword
Affine Weyl group, canonical left cell, lowest two-sided cell., Affine Weyl group, canonical left cell, lowest two-sided cell.
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Pagination
351-363
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.
DOI
10.21915/BIMAS.2018304
https://doi.org/10.21915/BIMAS.2018304
AMS Subject
Classification
Primary 20C08.
Received
2016-12-19
Accepted
2016-12-23
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