Generalized Vertex Algebras
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0602072,
title = {Generalized Vertex Algebras},
author = {Bojko Bakalov and Victor G. Kac},
journal= {arXiv preprint arXiv:math/0602072},
year = {2007}
}
Comments
23 pages, in "Lie theory and its applications in physics VI," ed. V.K. Dobrev et al., Heron Press, Sofia, 2006