<i>L</i><sup>&#177;</sup> Operators and Quantum Enveloping Algebras

Xie Mi; Jin Baiqi; Ma Zhongqi

Chinese Physics C> 1996, Vol. 20> Issue(S3) : 253-260

L^± Operators and Quantum Enveloping Algebras

Xie Mi ¹ ,
Jin Baiqi ² ,
Ma Zhongqi ²

1 Graduate School, Chinese Academy of Sciences, Beijing, China;
2 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

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Abstract：
The relations between L^± operators and the generators in the quantum enveloping algebras are studied. The L^± operators for U_qA_N and U_qG₂ algebras are explicitly expressed by the generators as examples.
- quantum enveloping algebras ,
- Hopf algebra ,
- L^± operators

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Xie Mi, Jin Baiqi and Ma Zhongqi. L^± Operators and Quantum Enveloping Algebras[J]. Chinese Physics C, 1996, 20(S3): 253-260.

Xie Mi, Jin Baiqi and Ma Zhongqi. L^± Operators and Quantum Enveloping Algebras[J]. Chinese Physics C, 1996, 20(S3): 253-260. shu

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Received: 1995-08-25

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Supported by the National Natural Science Foundation of China and the Science Foundation of the Chinese Academy of Sciences.

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

L^± Operators and Quantum Enveloping Algebras

1 Graduate School, Chinese Academy of Sciences, Beijing, China;
2 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

Received Date: 1995-08-25

Fund Project: Supported by the National Natural Science Foundation of China and the Science Foundation of the Chinese Academy of Sciences.

Abstract: The relations between L^± operators and the generators in the quantum enveloping algebras are studied. The L^± operators for U_qA_N and U_qG₂ algebras are explicitly expressed by the generators as examples.