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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2024 MCQ for Representation Theory is 0.71.

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Character sheaves on disconnected groups, VII
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by G. Lusztig
Represent. Theory 9 (2005), 209-266
DOI: https://doi.org/10.1090/S1088-4165-05-00278-5
Published electronically: March 25, 2005

Abstract:

We define and study convolution of parabolic character sheaves. As an application, we attach to any parabolic character sheaf the orbit of a tame local system on the maximal torus under a subgroup of the Weyl group.
References
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Received by editor(s): November 4, 2004
  • Published electronically: March 25, 2005
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 2005 American Mathematical Society
  • Journal: Represent. Theory 9 (2005), 209-266
  • MSC (2000): Primary 20G99
  • DOI: https://doi.org/10.1090/S1088-4165-05-00278-5
  • MathSciNet review: 2133758