Generalized Vertex Algebras

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.

23 pages, in "Lie theory and its applications in physics VI," ed. V.K. Dobrev et al., Heron Press, Sofia, 2006

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