Quantum Groups, Quantum Categories and Quantum Field Theory by Jürg Fröhlich, Thomas Kerler.

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Fröhlich, Jürg (Author), Kerler, Thomas (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
Edition:1st ed. 1993.
Series:Lecture Notes in Mathematics, 1542
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

MARC

LEADER 00000nam a22000005i 4500
001 b3212063
003 MWH
005 20191028122547.0
007 cr nn 008mamaa
008 121227s1993 gw | s |||| 0|eng d
020 |a 9783540476115 
024 7 |a 10.1007/BFb0084244  |2 doi 
035 |a (DE-He213)978-3-540-47611-5 
050 4 |a E-Book 
072 7 |a PBPD  |2 bicssc 
072 7 |a MAT002010  |2 bisacsh 
072 7 |a PBPD  |2 thema 
100 1 |a Fröhlich, Jürg.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Quantum Groups, Quantum Categories and Quantum Field Theory  |h [electronic resource] /  |c by Jürg Fröhlich, Thomas Kerler. 
250 |a 1st ed. 1993. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 1993. 
300 |a VIII, 432 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1542 
490 1 |a Springer eBook Collection 
505 0 |a and survey of results -- Local quantum theory with braid group statistics -- Superselection sectors and the structure of fusion rule algebras -- Hopf algebras and quantum groups at roots of unity -- Representation theory of U q red (s? 2) -- Path representations of the braid groups for quantum groups at roots of unity -- Duality theory for local quantum theories, dimensions and balancing in quantum categories -- The quantum categories with a generator of dimension less than two. 
520 |a 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. 
590 |a Loaded electronically. 
590 |a Electronic access restricted to members of the Holy Cross Community. 
650 0 |a K-theory. 
650 0 |a Group theory. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Quantum computers. 
650 0 |a Spintronics. 
650 0 |a Quantum physics. 
690 |a Electronic resources (E-books) 
700 1 |a Kerler, Thomas.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1542 
830 0 |a Springer eBook Collection. 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/BFb0084244  |3 Click to view e-book 
907 |a .b32120631  |b 04-18-22  |c 02-26-20 
998 |a he  |b 02-26-20  |c m  |d @   |e -  |f eng  |g gw   |h 0  |i 1 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
912 |a ZDB-2-BAE 
950 |a Mathematics and Statistics (Springer-11649) 
902 |a springer purchased ebooks 
903 |a SEB-COLL 
945 |f  - -   |g 1  |h 0  |j  - -   |k  - -   |l he   |o -  |p $0.00  |q -  |r -  |s b   |t 38  |u 0  |v 0  |w 0  |x 0  |y .i21252282  |z 02-26-20 
999 f f |i 93f529d4-64ac-5a9c-9392-f178076327de  |s 9591d7c9-9a2a-527f-bc32-1bef61843479 
952 f f |p Online  |a College of the Holy Cross  |b Main Campus  |c E-Resources  |d Online  |e E-Book  |h Library of Congress classification  |i Elec File  |n 1