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Lectures on tensor categories and modular functors (notice n° 12254)

000 -LEADER
fixed length control field 01941nam a2200253 u 4500
001 - CONTROL NUMBER
control field UNI0000314
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161123124443.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 131113s2000 XX eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0821826867 (paperback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821826867 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency DCLC
040 ## - CATALOGING SOURCE
Modifying agency IMIST
Description conventions AFNOR
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kirillov,, Jr. Bojko Bakalov and Alexander.
245 #0 - TITLE STATEMENT
Title Lectures on tensor categories and modular functors
Statement of responsibility, etc Jr. Bojko Bakalov and Alexander Kirillov.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc [S.l.]
Name of publisher, distributor, etc American Mathematical Society
Date of publication, distribution, etc 2000.
300 ## - PHYSICAL DESCRIPTION
Extent 221 p.
Dimensions 26 cm.
490 1# - SERIES STATEMENT
Series statement University lecture series.
500 ## - GENERAL NOTE
General note This book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory). The following examples are discussed in detail: the category of representations of a quantum group at a root of unity and the Wess-Zumino-Witten modular functor. The idea that these topics are related first appeared in the physics literature in the study of quantum field theory. Pioneering works of Witten and Moore-Seiberg triggered an avalanche of papers, both physical and mathematical, exploring various aspects of these relations. Upon preparing to lecture on the topic at MIT, however, the authors discovered that the existing literature was difficult and that there were gaps to fill. The text is wholly expository and finely succinct. It gathers results, fills existing gaps, and simplifies some proofs. The book makes an important addition to the existing literature on the topic. It would be suitable as a course text at the advanced-graduate level.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Abelian categories
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum field theory
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Tensor products
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