Quantum vertex algebras

[James Stasheff <jds@math.upenn.edu>]

math.QA/9903038 [abs, src, ps, other] :

       Title: Quantum vertex algebras
       Authors: Richard E. Borcherds
       Comments: 18 pages, plain tex
       Subj-class: Quantum Algebra; Category Theory 
concludes with a large set of problems
some of which are strictly n-categorical

       The purpose of this paper is to make the theory of vertex algebras
trivial. We do this by
       setting up some categorical machinery so that vertex algebras are
just ``singular
       commutative rings'' in a certain category. This makes it easy to
construct many examples of
       vertex algebras, in particular by using an analogue of the
construction of a twisted group ring
       from a bicharacter of a group. We also define quantum vertex
algebras as singular braided
       rings in the same category and construct some examples of them. The
constructions work
       just as well for higher dimensional analogues of vertex algebras.
(18kb)

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