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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.

 

Canonical bases and quiver varieties
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by Michela Varagnolo and Eric Vasserot
Represent. Theory 7 (2003), 227-258
DOI: https://doi.org/10.1090/S1088-4165-03-00154-7
Published electronically: June 27, 2003

Abstract:

We prove the existence of canonical bases in the $K$-theory of quiver varieties. This existence was conjectured by Lusztig.
References
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Bibliographic Information
  • Michela Varagnolo
  • Affiliation: Département de mathématique, Université de Cergy-Pontoise, 2, av. A. Chauvin, BP 222, 95302 Cergy-Pontoise cedex, France
  • MR Author ID: 331546
  • Email: michela.varagnolo@math.u-cergy.fr
  • Eric Vasserot
  • Affiliation: Département de mathématique, Université de Cergy-Pontoise, 2, av. A. Chauvin, BP 222, 95302 Cergy-Pontoise cedex, France
  • Email: eric.vasserot@math.u-cergy.fr
  • Received by editor(s): January 14, 2002
  • Received by editor(s) in revised form: March 1, 2002, January 28, 2003, and May 27, 2003
  • Published electronically: June 27, 2003
  • Additional Notes: Both authors are partially supported by EU grant # ERB FMRX-CT97-0100
  • © Copyright 2003 American Mathematical Society
  • Journal: Represent. Theory 7 (2003), 227-258
  • MSC (2000): Primary 17B37; Secondary 16E20
  • DOI: https://doi.org/10.1090/S1088-4165-03-00154-7
  • MathSciNet review: 1990661