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Generalized Vertex Algebras

Bojko Bakalov, Victor G. Kac

math.QAarXiv:math/0602072

Abstract

We give a short introduction to generalized vertex algebras, using the notion of polylocal fields. We construct a generalized vertex algebra associated to a vector space h with a symmetric bilinear form. It contains as subalgebras all lattice vertex algebras of rank equal to dim h and all irreducible representations of these vertex algebras.

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