Generalized Vertex Algebras

Details Generalized Vertex Algebras Generalized Vertex Algebras

2006-02-04

arxiv.org/abs/math/0602072v1

Mathematics

Quantum Algebra

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

Scientific paper

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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