From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1067 Path: news.gmane.org!not-for-mail From: James Stasheff Newsgroups: gmane.science.mathematics.categories Subject: Quantum vertex algebras Date: Tue, 9 Mar 1999 10:17:18 -0500 (EST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241017541 29334 80.91.229.2 (29 Apr 2009 15:05:41 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:05:41 +0000 (UTC) To: categories@mta.ca Original-X-From: cat-dist Tue Mar 9 16:23:10 1999 Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.9.3/8.9.3) id OAA29660 for categories-list; Tue, 9 Mar 1999 14:03:02 -0400 (AST) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Sender: cat-dist@mta.ca Precedence: bulk Original-Lines: 40 Xref: news.gmane.org gmane.science.mathematics.categories:1067 Archived-At: 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) ************************************************************ Jim Stasheff jds@math.upenn.edu 146 Woodland Dr Lansdale PA 19446 (215)822-6707 Jim Stasheff jds@math.unc.edu Math-UNC (919)-962-9607 Chapel Hill NC FAX:(919)-962-2568 27599-3250