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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Canonical bases and quiver varieties
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by Michela Varagnolo and Eric Vasserot PDF
Represent. Theory 7 (2003), 227-258 Request permission

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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Additional 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