* Quantum vertex algebras
@ 1999-03-09 15:17 James Stasheff
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From: James Stasheff @ 1999-03-09 15:17 UTC (permalink / raw)
To: categories
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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