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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.


A diagrammatic approach to categorification of quantum groups I
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by Mikhail Khovanov and Aaron D. Lauda
Represent. Theory 13 (2009), 309-347
Published electronically: July 28, 2009


To each graph without loops and multiple edges we assign a family of rings. Categories of projective modules over these rings categorify $U^-_q(\mathfrak {g})$, where $\mathfrak {g}$ is the Kac-Moody Lie algebra associated with the graph.
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Bibliographic Information
  • Mikhail Khovanov
  • Affiliation: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
  • Address at time of publication: Department of Mathematics, Columbia University, New York, New York 10027
  • MR Author ID: 363306
  • Email:
  • Aaron D. Lauda
  • Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
  • ORCID: setImmediate$0.06573403963950497$1
  • Email:
  • Received by editor(s): August 7, 2008
  • Published electronically: July 28, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 13 (2009), 309-347
  • MSC (2000): Primary 81R50, 16S99
  • DOI:
  • MathSciNet review: 2525917