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A Weyl module filtration for the vertex algebra of differential operators


Author: Minxian Zhu
Journal: Represent. Theory 15 (2011), 370-384
MSC (2010): Primary 17B67, 17B69
DOI: https://doi.org/10.1090/S1088-4165-2011-00381-2
Published electronically: April 29, 2011
MathSciNet review: 2801173
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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

DOI: https://doi.org/10.1090/S1088-4165-2011-00381-2
Received by editor(s): October 14, 2009
Received by editor(s) in revised form: March 8, 2010
Published electronically: April 29, 2011
Article copyright: © Copyright 2011 American Mathematical Society