Quantum groups, quantum categories, and quantum field theory /

Quantum groups, quantum categories, and quantum field theory /

Saved in:

Bibliographic Details
Author / Creator:	Fröhlich, Jürg.
Imprint:	Berlin ; New York : Springer-Verlag, ©1993.
Description:	1 online resource (vii, 431 pages) : illustrations.
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1542 Lecture notes in mathematics (Springer-Verlag) ; 1542.
Subject:	Quantum groups. Quantum field theory. Quantum field theory. Quantum groups.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11071376

Hidden Bibliographic Details
Other authors / contributors:	Kerler, Thomas, 1965-
ISBN:	9783540476115 3540476113 9780387566238 0387566236 9783540566236 3540566236
Notes:	Includes bibliographical references (pages 422-428) and index. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.
Other form:	Print version: Fröhlich, Jürg. Quantum groups, quantum categories, and quantum field theory. Berlin : New York : Springer-Verlag, ©1993 3540566236

Description
Summary:	This book reviews recent results on low-dimensional quantumfield theories and their connection with quantum grouptheory and the theory of braided, balanced tensorcategories. It presents detailed, mathematically preciseintroductions to these subjects and then continues with newresults. Among the main results are a detailed analysis ofthe representation theory of U (sl ), for q a primitiveroot of unity, and a semi-simple quotient thereof, aclassfication of braided tensor categories generated by anobject of q-dimension less than two, and an application ofthese results to the theory of sectors in algebraic quantumfield theory. This clarifies the notion of "quantizedsymmetries" in quantum fieldtheory. The reader is expectedto be familiar with basic notions and resultsin algebra.The book is intended for research mathematicians,mathematical physicists and graduate students.
Physical Description:	1 online resource (vii, 431 pages) : illustrations.
Format:	Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:	Includes bibliographical references (pages 422-428) and index.
ISBN:	9783540476115 3540476113 9780387566238 0387566236 9783540566236 3540566236
ISSN:	0075-8434 ;