The Grothendieck group of unipotent representations: A new basis-Reference-Cited by-同舟云学术

The Grothendieck group of unipotent representations: A new basis

Published:2020-05-27 Issue:6 Volume:24 Page:178-209
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Lusztig G.

Abstract

Let G ( F q ) G(F_q) be the group of rational points of a simple algebraic group defined and split over a finite field F q F_q . In this paper we define a new basis for the Grothendieck group of unipotent representations of G ( F q ) G(F_q) .

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

https://www.ams.org/ert/2020-24-06/S1088-4165-2020-00542-4/S1088-4165-2020-00542-4.pdf

Reference5 articles.

1. Unipotent representations of a finite Chevalley group of type 𝐸₈;Lusztig, George;Quart. J. Math. Oxford Ser. (2),1979

2. Unipotent characters of the symplectic and odd orthogonal groups over a finite field;Lusztig, George;Invent. Math.,1981

3. Annals of Mathematics Studies;Lusztig, George,1984

4. Leading coefficients of character values of Hecke algebras;Lusztig, G.,1987

5. A new basis for the representation ring of a Weyl group;Lusztig, G.;Represent. Theory,2019

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