Quantum Tensor Double and Realization of Quantum Groups

WU Ke; GUO Han-Ying

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2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(9) : 796-802

Quantum Tensor Double and Realization of Quantum Groups

WU Ke ^, ,
GUO Han-Ying

Institute of Theoretical Physics,Academia Sinica,Beijing 100080

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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.

References

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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

WU Ke ^,
GUO Han-Ying

Corresponding author: WU Ke,

Institute of Theoretical Physics,Academia Sinica,Beijing 100080

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-09-05

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.