A new basis for the representation ring of a Weyl group
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- by G. Lusztig
- Represent. Theory 23 (2019), 439-461
- DOI: https://doi.org/10.1090/ert/534
- Published electronically: October 23, 2019
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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.References
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Bibliographic Information
- G. Lusztig
- Affiliation: Department of Mathematics, Room 2-365, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@mit.edu
- Received by editor(s): January 1, 2400
- Published electronically: October 23, 2019
- Additional Notes: The author was supported by NSF grant DMS-1566618.
- © Copyright 2019 American Mathematical Society
- Journal: Represent. Theory 23 (2019), 439-461
- MSC (2010): Primary 20G99
- DOI: https://doi.org/10.1090/ert/534
- MathSciNet review: 4021825