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Quantum groups : proceedings of the 8th International Workshop on Mathematical Physics, held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19-26 July 1989

Author: H D Doebner; Jörg Henning
Publisher: Berlin ; New York : Springer-Verlag, ©1990.
Series: Lecture notes in physics, 370.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book, for the first time, authors from different schools review in an intelligible way the various competing approaches:  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
International Workshop on Mathematical Physics (8th : 1989 : Arnold Sommerfeld Institute).
Quantum groups.
Berlin ; New York : Springer-Verlag, ©1990
(DLC) 90024225
(OCoLC)22859891
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: H D Doebner; Jörg Henning
ISBN: 9783540466475 3540466479
OCLC Number: 234261461
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (x, 434 pages) : illustrations.
Details: 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.
Contents: to quantum groups.- Mathematical guide to quantum groups.- A q-boson realization of the quantum group SU q (2) and the theory of q-tensor operators.- Polynomial basis for SU(2)q and Clebsch-Gordan coefficients.- U q (sl(2)) Invariant operators and reduced polynomial identities.- Classification and characters of Uq(sl(3, C ))representations.- Extremal projectors for quantized kac-moody superalgebras and some of their applications.- Yang-Baxter algebras, integrable theories and Betre Ansatz.- Yang-Baxter algebra - Bethe Ansatz - conformal quantum field theories - quantum groups.- Classical Yang-Baxter equations and quantum integrable systems (Gaudin models).- Quantum groups as symmetries of chiral conformal algebras.- Comments on rational conformal field theory, quantum groups and tower of algebras.- Chern-Simons field theory and quantum groups.- Quantum symmetry associated with braid group statistics.- Sum rules for spins in (2 + 1)-dimensional quantum field theory.- Anomalies from the phenomenological and geometrical points of view.- KMS states, cyclic cohomology and supersymmetry.- Gauge theories based on a non-commutative geometry.- Algebras symmetries spaces.
Series Title: Lecture notes in physics, 370.
Responsibility: H.-D. Doebner, J.-D. Henning (eds.).

Abstract:

Recent studies in conformal quantum field theory have revealed the structure of quantum groups to be a viable framework for mathematical and physical problems. This volume explores various approaches  Read more...

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