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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.


$t$–analogs of $q$–characters of Kirillov-Reshetikhin modules of quantum affine algebras
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by Hiraku Nakajima
Represent. Theory 7 (2003), 259-274
Published electronically: July 10, 2003


We prove the Kirillov-Reshetikhin conjecture concerning certain finite dimensional representations of a quantum affine algebra ${\mathbf U}_q(\widehat {\mathfrak g})$ when $\widehat {\mathfrak g}$ is an untwisted affine Lie algebra of type $ADE$. We use $t$–analog of $q$–characters introduced by the author in an essential way.
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Bibliographic Information
  • Hiraku Nakajima
  • Affiliation: Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
  • MR Author ID: 248505
  • Email:
  • Received by editor(s): April 29, 2002
  • Published electronically: July 10, 2003
  • Additional Notes: Supported by the Grant-in-aid for Scientific Research (No.13640019), JSPS

  • Dedicated: Dedicated to Professor Takushiro Ochiai on his sixtieth birthday
  • © Copyright 2003 American Mathematical Society
  • Journal: Represent. Theory 7 (2003), 259-274
  • MSC (2000): Primary 17B37; Secondary 81R50, 82B23
  • DOI:
  • MathSciNet review: 1993360