Quantum Groups
Proceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19-26 July 1989
Published on 12. December 1990
Book
Hardback
X, 438 pages
978-3-540-53503-4 (ISBN)
Description
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: inverse scattering methods, 2-dimensional statistical models, Yang-Baxter algebras, the Bethe ansatz, conformal quantum field theory, representations, braid group statistics, noncommutative geometry, and harmonic analysis.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
2
2 s/w Abbildungen
2 black & white illustrations, biography
Dimensions
Height: 24.2 cm
Width: 17 cm
Weight
865 gr
ISBN-13
978-3-540-53503-4 (9783540535034)
DOI
10.1007/3-540-53503-9
Schweitzer Classification
Other editions
Additional editions
Heinz-Dietrich Doebner | Jörg-D. Hennig
Quantum Groups
Proceedings of the 8th International Workshop on Mathematical Physics, Held at the Arnold Sommerfeld Institute, Clausthal, FRG, on 19-26 July 1989
Book
04/2014
Springer
€106.99
Shipment within 7-9 days
Content
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.