Quantum Group And Quantum Integrable Systems - Nankai Lectures On Mathematical Physics

• Part 1 Quantum group and recent developments, M. Jimbo: review of representations of Uq(G); finite dimensional representations of Uq(SL(2)); universal R-matrix; problems relating with the root of unity; crystal base theory of Kashiwara (q=0). Part 2 Recent developments on quantum inverse scattering methods, E.K. Sklyanin: R matrix; representation of transfer matrices T(u); spectrum of generating function (u); correlation functions. Part 3 Quantum group as quantum integrable system, P.P. Kulish: q-oscillator, q-special functions; q-algebra as symmetry of dynamical systems with reflection; connection with CFT and Gervai's theory.

"The volume under review can be a useful source of information for those entering the field as well as for mathematicians and physicists who are interested in applications of quantum groups to quantum integrable models." Tomasz Brzezi nski Mathematical Reviews