Nonlocal finiteness of a $W$-graph
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- 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
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