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Character sheaves on disconnected groups, VIII

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sword-2022-02-09T18:50:09.original.xml (130 B)
Original SWORD entry document
Author(s)
Lusztig, G
Date Issued
August 17, 2006
Journal
Representation Theory of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
G. Lusztig, Character sheaves on disconnected groups, VIII, Represent. Theory 10 (2006)
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/140247
DOI of Published Version
https://doi.org/10.1090/S1088-4165-06-00314-1
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