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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 geometric proof of the Feigin-Frenkel theorem
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by Sam Raskin
Represent. Theory 16 (2012), 489-512
Published electronically: September 20, 2012

Previous version: Original version posted September 20, 2012


We reprove the theorem of Feigin and Frenkel relating the center of the critical level enveloping algebra of the Kac-Moody algebra for a semisimple Lie algebra to opers (which are certain de Rham local systems with extra structure) for the Langlands dual group. Our proof incorporates a construction of Beilinson and Drinfeld relating the Feigin-Frenkel isomorphism to (more classical) Langlands duality through the geometric Satake theorem.
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Bibliographic Information
  • Sam Raskin
  • Affiliation: Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, Massachusetts 02138
  • Email:
  • Received by editor(s): June 12, 2011
  • Received by editor(s) in revised form: August 21, 2011, and January 3, 2012
  • Published electronically: September 20, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 16 (2012), 489-512
  • MSC (2010): Primary 17B65, 81R10, 14D24
  • DOI:
  • MathSciNet review: 2972556