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The Grothendieck group of unipotent representations: A new basis

Author: G. Lusztig
Journal: Represent. Theory 24 (2020), 178-209
MSC (2020): Primary 20G99
Published electronically: May 27, 2020
MathSciNet review: 4103274
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Abstract: Let $G(F_q)$ be the group of rational points of a simple algebraic group defined and split over a finite field $F_q$. In this paper we define a new basis for the Grothendieck group of unipotent representations of $G(F_q)$.

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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
MR Author ID: 117100

Received by editor(s): October 11, 2019
Received by editor(s) in revised form: March 25, 2020
Published electronically: May 27, 2020
Additional Notes: The author was supported by NSF grant DMS-1855773.
Article copyright: © Copyright 2020 American Mathematical Society