A new basis for the representation ring of a Weyl group

Author(s)
Lusztig, George
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Abstract
Let W be a Weyl group. In this paper we define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations of W carried by the left cells of W. We show that the representations in the new basis have a certain bipositivity property.
Date issued
2019-10
URI
https://hdl.handle.net/1721.1/125509
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Representation Theory
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, G. “A new basis for the representation ring of a Weyl group.” Representation Theory 23 (2019): 439-461 © 2019 The Author
Version: Final published version
ISSN
1088-4165
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