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.

 

Nonlocal finiteness of a $W$-graph
HTML articles powered by AMS MathViewer

by George Lusztig PDF
Represent. Theory 1 (1997), 25-30 Request permission

Abstract:

It is shown that the $W$-graph of an affine Weyl group of type $B_{2}$ (as defined by Kazhdan and Lusztig in Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165–184) is not locally finite.
References
  • David Kazhdan and George Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), no. 2, 165–184. MR 560412, DOI 10.1007/BF01390031
  • George Lusztig, Singularities, character formulas, and a $q$-analog of weight multiplicities, Analysis and topology on singular spaces, II, III (Luminy, 1981) Astérisque, vol. 101, Soc. Math. France, Paris, 1983, pp. 208–229. MR 737932
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (1991): 20G99
  • Retrieve articles in all journals with MSC (1991): 20G99
Additional Information
  • George Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email: gyuri@math.mit.edu
  • Received by editor(s): August 13, 1996
  • Received by editor(s) in revised form: August 21, 1996
  • Published electronically: November 4, 1996
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 1997 American Mathematical Society
  • Journal: Represent. Theory 1 (1997), 25-30
  • MSC (1991): Primary 20G99
  • DOI: https://doi.org/10.1090/S1088-4165-97-00003-4
  • MathSciNet review: 1429372