Overview

An analysis of exactly soluble models in nonlinear classical systems and quantum systems, as well as recent studies in conformal quantum field theory, have revealed the structure of quantum groups to be an interesting framework for mathematical and physical problems. In this book, contributors review the various competing approaches: inverse scattering methods, two-dimensional statistical models, Yang-Baxter algebras, the Bethe ansatz, conformal quantum field theory, representations, Braid group statistics, non-commutative geometry and harmonic analysis.

Full Product Details

Author:   Heinz-Dietrich Doebner ,  Jorg-D. Hennig
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Volume:   Vol 370
Weight:   0.865kg
ISBN:  

9783540535034

ISBN 10:   3540535039
Pages:   448
Publication Date:   12 December 1990
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of 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.

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