A new basis for the representation ring of a Weyl group-Reference-Cited by-同舟云学术

A new basis for the representation ring of a Weyl group

Published:2019-10-23 Issue:14 Volume:23 Page:439-461
ISSN:1088-4165
Container-title:Representation Theory of the American Mathematical Society
language:en
Short-container-title:Represent. Theory

Author:

Lusztig G.

Abstract

Let W W be a Weyl group. In this paper we define a new basis for the Grothendieck group of representations of W W . This basis contains on the one hand the special representations of W W and on the other hand the representations of W W carried by the left cells of W W . We show that the representations in the new basis have a certain bipositivity property.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Link

http://www.ams.org/ert/2019-23-14/S1088-4165-2019-00534-7/S1088-4165-2019-00534-7.pdf

Reference7 articles.

1. A class of irreducible representations of a Weyl group;Lusztig, G.;Nederl. Akad. Wetensch. Indag. Math.,1979

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

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

4. A class of irreducible representations of a Weyl group. II;Lusztig, George;Nederl. Akad. Wetensch. Indag. Math.,1982

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

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