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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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A geometric proof of the Feigin-Frenkel theorem
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by Sam Raskin PDF
Represent. Theory 16 (2012), 489-512 Request permission


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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Additional 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