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Representation Theory
Representation Theory
ISSN 1088-4165

Character sheaves on disconnected groups, VIII


Author: G. Lusztig
Journal: Represent. Theory 10 (2006), 314-352
MSC (2000): Primary 20G99
Posted: August 17, 2006
MathSciNet review: 2240704
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Abstract: In this paper we continue the study of character sheaves on a reductive group. To each subset of the set of simple reflections in the Weyl group we associate an algebra of the same kind as an Iwahori Hecke algebra with unequal parameters in terms of parabolic character sheaves. We also prove a Mackey type formula for character sheaves. We define a duality operation for character sheaves. We also prove a quasi-rationality property for character sheaves.


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Additional Information

G. Lusztig
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

DOI: http://dx.doi.org/10.1090/S1088-4165-06-00314-1
PII: S 1088-4165(06)00314-1
Received by editor(s): November 9, 2006
Received by editor(s) in revised form: January 21, 2006
Posted: August 17, 2006
Additional Notes: Supported in part by the National Science Foundation.
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.