Skip to Main Content

Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


A new basis for the representation ring of a Weyl group
HTML articles powered by AMS MathViewer

by G. Lusztig PDF
Represent. Theory 23 (2019), 439-461 Request permission


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.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 20G99
  • Retrieve articles in all journals with MSC (2010): 20G99
Additional Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Room 2-365, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • 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:
  • MathSciNet review: 4021825