Quantum symmetries : proceedings of the International Workshop on Mathematical Physics : Arnold Sommerfeld Institute, Clausthal, 15-20 July 1991
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書誌事項
Quantum symmetries : proceedings of the International Workshop on Mathematical Physics : Arnold Sommerfeld Institute, Clausthal, 15-20 July 1991
World Scientific, c1993
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内容説明・目次
内容説明
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.
目次
- 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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