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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.


On the equivariant K-theory of the nilpotent cone in the general linear group
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by Pramod N. Achar
Represent. Theory 8 (2004), 180-211
Published electronically: May 24, 2004

Corrigendum: Represent. Theory 20 (2016), 414-418.


Let $G$ be a simple complex algebraic group. Lusztig and Vogan have conjectured the existence of a natural bijection between the set of dominant integral weights of $G$, and the set of pairs consisting of a nilpotent orbit and a finite-dimensional irreducible representation of the isotropy group of the orbit. This conjecture has been proved by Bezrukavnikov. In this paper, we develop combinatorial algorithms for computing the bijection and its inverse in the case of $G = GL(n,\mathbb {C})$.
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Bibliographic Information
  • Pramod N. Achar
  • Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
  • MR Author ID: 701892
  • Email:
  • Received by editor(s): June 2, 2003
  • Received by editor(s) in revised form: January 19, 2004
  • Published electronically: May 24, 2004
  • Additional Notes: The author was partially supported by an NSF Graduate Research Fellowship, and later by an NSF Postdoctoral Research Fellowship.
  • © Copyright 2004 American Mathematical Society
  • Journal: Represent. Theory 8 (2004), 180-211
  • MSC (2000): Primary 22E46; Secondary 19A49
  • DOI:
  • MathSciNet review: 2058726