What would anyone recommend as a good EXPOSITORY account/introduction for: 1)the category of modules/reps of a Lie algebra as symmetric monoidal? 2) same but with an eye to generalizing to quantum groups?? 3)relevance of n-cats to computer science?? thanks jim stasheff (messages unsigned but from jds@math.unc.edu orjds@math.upenn.edu are from me) ============================================================================== Subj: Categories: Routine Posting This is the quarterly routine distribution for the categories mailing list. It was last updated on June 30, 1992. Subscribers should note that the From: field of a categories posting is categories@mta.ca (which is different from some other mailing lists). Thus, an automatic reply is redirected to the entire list (unless another intention is clearly detected by the moderator). Administrative items (address changes etc.) can be sent to categories-request@mta.ca, or directly to the moderator. Usually, items of this sort sent to categories@mta.ca will not be posted. The archives of postings on categories are held at the ftp site macc2.mta.ca in the directory [.categories]. Note that this is a Vax VMS system and so the cd command requires appropriate syntax i.e. cd [.new] moves one node down the directory tree to new cd [-] moves one node up the tree. The postings are filed in yearly subdirectories called [.90], [.91] etc. Within those subdirectories there are monthly files, and an annual list of dates and subjects of postings. In the [.categories] directory there is also a file called ftp.sites with information about ftp sites holding files of interest to subscribers. Several TeX diagram macro packages are in the subdirectory [.macro]. Contributions for these files are welcome. This ftp site will also archive files which represent preprints in category theory for persons without access to an ftp archive. It is preferred that these be in TeX, but other submissions will be considered. Submissions should be sent to the moderator by e-mail only, and should include a short abstract suitable for posting to the categories list. Submissions must be ascii files only (so TeX source code in any flavour is fine, but dvi files are not acceptable currently.) If you need detailed instructions on how to use ftp ask anyone knowedgable about networks at your site, or write to me. Bob Rosebrugh Phone: 1-506-364-2538 Department of Mathematics and Computer Science Fax: -364-2210 Mount Allison University Sackville, N. B. E0A 3C0 Email: rrosebrugh@mta.ca Canada ==============================================================================
Regarding Jim Stasheff's query: I regret that I don't know any extant good exposition on any of the topics (not surpising on 3) since that's out of my area). However, David Kazhdan and Serge Gelfand are apparently working on a book on tensor categories (i.e. monoidal categories, though possibly with some linearity or abelianness required), which may fit the bill on 1) and 2). Sorry I can't be more helpful. Best Thoughts, David Yetter ==============================================================================
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dyetter@math.ksu.edu -
jds@rademacher.math.upenn.edu