Overview

Quantum symmetry modelled through quantum group or its dual, quantum algebra, is a very active field of relevant physical and mathematical research stimulated often by physical intuition and with promising physical applications. This volume gives some information on the progress of this field during the years after the quantum group workshop in Clausthal 1989. Quantum symmetry is connected with very different approaches and views. The field is not yet coherent; there are different notions of quantum groups and of quantum algebras through algebraic deformations of groups and algebras. Hence its development has various directions following more special mathematical and physical interests.

Full Product Details

Author:   Heinz-dietrich Doebner (Technical Univ Of Clausthal, Germany) ,  Vladimir K Dobrev (Technical Univ Of Clausthal, Germany & Bulgarian Academy Of Sciences, Bulgaria)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810214753

ISBN 10:   9810214758
Pages:   392
Publication Date:   01 October 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Part 1 Physical applications of quantum symmetries - quantum symmetry in quantum theory, G. Mack, V. Schomerus; quantum symmetry associated with braid group statistics, K.-H. Rehren; quantum groups and quantum algebras as symmetries of dynamical systems, P.P. Kulish. Part 2 Quantum spaces, quantum symmetries and differential calculi - realizations and real forms of quantum groups in 2 dimensions, H. Ewen, et al; quantum vectors and quantum matrices, A.Sudbery; differential calculus on quantum groups, B. Jurco. Part 3 Representation of quantum algebras and groups - irreducible representations of the SUq(3) quantum algebra - the connection between U and T bases, Yu. F Smirnov, A.A. Malashin; adjoint extremal projectors and indecomposable representations for Uq(Sl(2,C), H.D. Doebner, V.N. Tolstoy; representations of quantum algebras and q-special functions, R. Floreanini, L. Vinet. Part 4 Quantum deformations and r-matrices - q-deformations of noncompact lie (super-) algebras - the example of q-deformed Lorentz, Weyl, Poincare and (super-) conformal algebras, V.K. Dobrev; r-matrices from quantization of non semisimple lie algebras, M. Tarlini; on the q-Sugawara construction for the virasoro (super) algebra, M. Chaichian, P. Presnajder (Part contents).

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