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

References in corpus (1)

• Vertex Algebras and Algebraic Curves

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