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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 2020 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.


Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone
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by Roman Bezrukavnikov
Represent. Theory 7 (2003), 1-18
Published electronically: January 9, 2003


A certain $t$-structure on the derived category of equivariant coherent sheaves on the nil-cone of a simple complex algebraic group is introduced by the author in the paper Perverse coherent sheaves (the so-called perverse $t$-structure corresponding to the middle perversity). In the present note we show that the same $t$-structure can be obtained from a natural quasi-exceptional set generating this derived category. As a consequence we obtain a bijection between the sets of dominant weights and pairs consisting of a nilpotent orbit, and an irreducible representation of the centralizer of this element, conjectured by Lusztig and Vogan (and obtained by other means by the author in the paper On tensor categories attached to cells in affine Weyl groups, to be published).
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Bibliographic Information
  • Roman Bezrukavnikov
  • Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208
  • MR Author ID: 347192
  • Email:
  • Received by editor(s): February 15, 2002
  • Received by editor(s) in revised form: July 31, 2002
  • Published electronically: January 9, 2003
  • Additional Notes: The author is supported by the NSF grant DMS0071967, and by the Clay Mathematical Institute
  • © Copyright 2003 American Mathematical Society
  • Journal: Represent. Theory 7 (2003), 1-18
  • MSC (2000): Primary 20G99
  • DOI:
  • MathSciNet review: 1973365