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Nonlocal finiteness of a $W$-graph

Author(s): George Lusztig
Journal: Represent. Theory 1 (1997), 25 - 30.
MSC (1991): Primary 20G99
Posted: November 4, 1996
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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:

[KL]
D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 81j:20066

[L]
G. Lusztig, Singularities, character formulas and a $q$-analog of weight multiplicities, Astérisque 101-102 (1983), 208-229. MR 85m:17005

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Additional Information:

George Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: gyuri@math.mit.edu

DOI: 10.1090/S1088-4165-97-00003-4
PII: S 1088-4165(97)00003-4
Received by editor(s): August 13, 1996
Received by editor(s) in revised form: August 21, 1996
Posted: November 4, 1996
Additional Notes: Supported in part by the National Science Foundation
Copyright of article: Copyright 1997, American Mathematical Society

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