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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
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by Viktor Ostrik
Represent. Theory 4 (2000), 296-305
Published electronically: July 31, 2000


In this note we construct a “Kazhdan-Lusztig type” basis in equivariant $K$-theory of the nilpotent cone of a simple algebraic group $G$. This basis conjecturally is very close to the basis of this $K$-group consisting of irreducible bundles on nilpotent orbits. As a consequence we get a natural (conjectural) construction of Lusztig’s bijection between dominant weights and pairs {nilpotent orbit $\mathcal O$, irreducible $G$-bundle on $\mathcal O$}.
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Bibliographic Information
  • Viktor Ostrik
  • Affiliation: Independent Moscow University, 11 Bolshoj Vlasjevskij per., Moscow 121002 Russia
  • MR Author ID: 601011
  • Email:
  • Received by editor(s): November 16, 1999
  • Received by editor(s) in revised form: April 19, 2000
  • Published electronically: July 31, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Represent. Theory 4 (2000), 296-305
  • MSC (2000): Primary 20G05; Secondary 14L30
  • DOI:
  • MathSciNet review: 1773863