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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 Weyl module filtration for the vertex algebra of differential operators
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by Minxian Zhu PDF
Represent. Theory 15 (2011), 370-384 Request permission

Abstract:

The aim of this paper is to give a proof of a conjecture stated in a previous paper by the author. We prove the existence of certain filtrations, in the case of rational central charges, for the vertex algebras of differential operators on a Lie group.
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Additional Information
  • Minxian Zhu
  • Affiliation: Department of Mathematics, 110 Frelinghuysen Rd, Rutgers University, Piscataway, New Jersey 08854
  • Email: minxian@math.rutgers.edu
  • Received by editor(s): October 14, 2009
  • Received by editor(s) in revised form: March 8, 2010
  • Published electronically: April 29, 2011
  • © Copyright 2011 American Mathematical Society
  • Journal: Represent. Theory 15 (2011), 370-384
  • MSC (2010): Primary 17B67, 17B69
  • DOI: https://doi.org/10.1090/S1088-4165-2011-00381-2
  • MathSciNet review: 2801173