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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.


Demazure modules and graded limits of minimal affinizations
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by Katsuyuki Naoi
Represent. Theory 17 (2013), 524-556
Published electronically: October 28, 2013


For a minimal affinization over a quantum loop algebra of type $BC$, we provide a character formula in terms of Demazure operators and multiplicities in terms of crystal bases. We also prove the formula for the limit of characters conjectured by Mukhin and Young. These are achieved by verifying that its graded limit (a variant of a classical limit) is isomorphic to some multiple generalization of a Demazure module, and by determining the defining relations of the graded limit.
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Bibliographic Information
  • Katsuyuki Naoi
  • Affiliation: University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, 5-1-5 Kashiwanoha, Kashiwa, 277-8583 Japan
  • Email:
  • Received by editor(s): October 5, 2012
  • Received by editor(s) in revised form: May 12, 2013, and June 17, 2013
  • Published electronically: October 28, 2013
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 17 (2013), 524-556
  • MSC (2010): Primary 17B10, 17B37; Secondary 20G42
  • DOI:
  • MathSciNet review: 3120578