Quantum Groups, Quantum Categories and Quantum Field Theory (Record no. 10376)
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000 -LEADER | |
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fixed length control field | 03656nam a22005535i 4500 |
001 - CONTROL NUMBER | |
control field | 978-3-540-47611-5 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20190213151342.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 121227s1993 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9783540476115 |
-- | 978-3-540-47611-5 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/BFb0084244 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA612.33 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBPD |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT002010 |
Source | bisacsh |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBPD |
Source | thema |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.66 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Fröhlich, Jürg. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
245 10 - TITLE STATEMENT | |
Title | Quantum Groups, Quantum Categories and Quantum Field Theory |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Jürg Fröhlich, Thomas Kerler. |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg : |
-- | Imprint: Springer, |
-- | 1993. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | VIII, 432 p. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
International Standard Serial Number | 0075-8434 ; |
Volume number/sequential designation | 1542 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | 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 ## - SUMMARY, ETC. | |
Summary, etc | 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | K-theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Group theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Global analysis (Mathematics). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Quantum theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | K-Theory. |
-- | http://scigraph.springernature.com/things/product-market-codes/M11086 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Group Theory and Generalizations. |
-- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Analysis. |
-- | http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Quantum Information Technology, Spintronics. |
-- | http://scigraph.springernature.com/things/product-market-codes/P31070 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Quantum Physics. |
-- | http://scigraph.springernature.com/things/product-market-codes/P19080 |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Kerler, Thomas. |
Relator term | author. |
Relator code | aut |
-- | http://id.loc.gov/vocabulary/relators/aut |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783662185827 |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9783540566236 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Lecture Notes in Mathematics, |
-- | 0075-8434 ; |
Volume number/sequential designation | 1542 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/BFb0084244 |
912 ## - | |
-- | ZDB-2-SMA |
912 ## - | |
-- | ZDB-2-LNM |
912 ## - | |
-- | ZDB-2-BAE |
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