Abelianizing Vertex Algebras

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Abelianizing vertex algebras

To every vertex algebra V we associate a canonical decreasing sequence of subspaces and prove that the associated graded vector space gr(V ) is naturally a vertex Poisson algebra, in particular a commutative vertex algebra. We establish a relation between this decreasing sequence and the sequence Cn introduced by Zhu. By using the (classical) algebra gr(V ), we prove that for any vertex algebra...

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Vertex Operator Algebras And

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2005

ISSN: 0010-3616,1432-0916

DOI: 10.1007/s00220-005-1348-z