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

WU Ke; GUO Han-Ying; ZHANG Ren-Jie

Chinese Physics C> 1993, Vol. 17> Issue(3) : 262-267

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

Institute of Theoretical Physics,Academia Sinica Beijing 100080

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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.

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-03-05

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.