Quantum group and quantum integrable systems : Nankai Institute of Mathematics, China, 2-18 April 1991
著者
書誌事項
Quantum group and quantum integrable systems : Nankai Institute of Mathematics, China, 2-18 April 1991
(Nankai lectures on mathematical physics)
World Scientific, c1992
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注記
Bibliography: p. 225-229
内容説明・目次
内容説明
This volume contains the lectures given by the three speakers, M Jimbo, P P Kulish and E K Sklyanin, who are outstanding experts in their field. It is essential reading to those working in the fields of Quantum Groups, and Integrable Systems.
目次
- 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.
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