Quantum Tensor Double and Realization of Quantum Groups

  • We propose the conception of quantum tensor-product double whereupon we show a simple and explicit relation between a given quantum group and its quantum algebra.
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  • [1] V. G. Drinfeld, Quantum Groups, Proc. I. C. M. Berkeley (1986),798.[2]L. D. Faddeev,N. Yu. Reshetikhin and L. A. Takhatajan,Leningrad Math.1. ,1(1990),193.[3]S.Majid,Inter. J. Mod.Phys.,A5(1990),1.[4]N. Burroughs. Comm. Math. Phys. ,133(1990) ; 91.[5]P. Kulish.Private communication.[6]吴可,郭汉英,章人杰,高能物理与核物理,17(1993),262.[7]P. Podles and S. L. Woronowicz,Comm. Math. Phys. ,130(1990),381.[8]M. Jimbo,in Nankai Lecture Notes Series,ed. M. L. Ge,World Scientific Pub. (1992).[9]马中琪,在CCAST"量子群和低维场论”工作月的报告(1992 ).
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WU Ke and GUO Han-Ying. Quantum Tensor Double and Realization of Quantum Groups[J]. Chinese Physics C, 1993, 17(9): 796-802.
WU Ke and GUO Han-Ying. Quantum Tensor Double and Realization of Quantum Groups[J]. Chinese Physics C, 1993, 17(9): 796-802. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Quantum Tensor Double and Realization of Quantum Groups

    Corresponding author: WU Ke,
  • Institute of Theoretical Physics,Academia Sinica,Beijing 100080

Abstract: We propose the conception of quantum tensor-product double whereupon we show a simple and explicit relation between a given quantum group and its quantum algebra.

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