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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A class of perverse sheaves on a partial flag manifold
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by G. Lusztig
Represent. Theory 11 (2007), 122-171
DOI: https://doi.org/10.1090/S1088-4165-07-00320-2
Published electronically: August 29, 2007

Abstract:

We introduce a class of perverse sheaves on a partial flag manifold of a connected reductive group $G$ defined over a finite field which are equivariant for the action of the group of rational points of $G$. The definition of this class is similar to the definition of parabolic character sheaves.
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): December 19, 2006
  • Published electronically: August 29, 2007
  • Additional Notes: The author was supported in part by the National Science Foundation
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 11 (2007), 122-171
  • MSC (2000): Primary 20G99
  • DOI: https://doi.org/10.1090/S1088-4165-07-00320-2
  • MathSciNet review: 2336607