A new basis for the representation ring of a Weyl group
Name
S1088-4165-2019-00534-7.pdf
Description
Published version
Size
302.58 KB
Format
Adobe PDF
Checksum (MD5)
66e54de3912d63f4d77e288ba9dbc180
Author(s)
Lusztig, George
Date Issued
October 2019
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/ERT/534
