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.
The study of quantum groups is at present the most active topic of research in mathematical physics. Here, for the first time, experts from different schools review the various approaches so far known. The workshop addresses both students and researchers.
Heinz-Dietrich Doebner
algebra cohomology conformal field theory differential equation field field theory geometry invariant partial differential equation polynomial quantum field quantum field theory scattering supersymmetry tensor