Quantum Double and Quantum Double Pair——A Relation Between Quantum Algebras and Quantum Groups

  • We introduce the concept of quantum double pair and proposed a method of realizing the quantum group from a given quantum algebra in terms of this concept.
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  • [1] V. G. Drinfel'd, Quantum groups, Proc. ICM (Berkeley)一1986, Vol,798.[2]N. Yu. Resherikhin, L. A. Takhadzhyan, L. D. Faddeev, Leningrad Math. J., Vol. 1(1990), 193[3]S. Majid,lraer J. Mod. Phys, A15(1990),1[4]N. Hurroughs, Commxn, Math. Phys., 133(1990), 91.[5]M. Jimbo, in Nankai Lecture Notes Series, ed. M. L. Ge, World Seientitic (1992).[6]R. J.Zhang M .s.Thesis, Institute of Theoretical Physics. (1992).[7]Z. Q. Via, Talks Aiven at CCAST Workshop.,Quantum Groups and Lour Dimensional Field Theories.(1992)[8]P. Podles,S. L.Wo:onowicz, Commun. Math. Phys., 130(1990), 381
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WU Ke, GUO Han-Ying and ZHANG Ren-Jie. Quantum Double and Quantum Double Pair——A Relation Between Quantum Algebras and Quantum Groups[J]. Chinese Physics C, 1993, 17(3): 262-267.
WU Ke, GUO Han-Ying and ZHANG Ren-Jie. Quantum Double and Quantum Double Pair——A Relation Between Quantum Algebras and Quantum Groups[J]. Chinese Physics C, 1993, 17(3): 262-267. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Quantum Double and Quantum Double Pair——A Relation Between Quantum Algebras and Quantum Groups

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

Abstract: We introduce the concept of quantum double pair and proposed a method of realizing the quantum group from a given quantum algebra in terms of this concept.

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