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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
DOI: https://doi.org/10.1090/ert/542
Published electronically: May 27, 2020
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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
Email: gyuri@mit.edu

DOI: https://doi.org/10.1090/ert/542
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