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q-Deformation of W (2 , 2) Lie Algebra Associated with Quantum Groups 被引量：1

q-Deformation of W (2 , 2) Lie Algebra Associated with Quantum Groups
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摘要 The q-deformation of W（2, 2） Lie algebra is well defined based on a realization of this Lie algebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantum group structures on the q-deformation of W（2, 2） Lie algebra are completely determined. Finally, the 1-dimensional central extension of the q-deformed W（2, 2） Lie algebra is studied, which turns out to be coincided with the conventional W（2, 2） Lie algebra in the q → 1 limit. The q-deformation of W（2, 2） Lie algebra is well defined based on a realization of this Lie algebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantum group structures on the q-deformation of W（2, 2） Lie algebra are completely determined. Finally, the 1-dimensional central extension of the q-deformed W（2, 2） Lie algebra is studied, which turns out to be coincided with the conventional W（2, 2） Lie algebra in the q → 1 limit.
作者 La Mei YUAN
机构地区 Academy of Fundamental and Interdisciplinary Sciences Wu Wen-Tsun Key Laboratory of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第11期2213-2226,共14页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China (Grant No. 10825101)
关键词 W（2 2） Lie algebra Q-DEFORMATION quantum group central extension W（2, 2） Lie algebra, q-deformation, quantum group, central extension
分类号 O152.5 [理学—基础数学] O431.2 [机械工程—光学工程]
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参考文献2

  • 1Bin XIN~(1+) Guang-ai SONG~2 Yu-cai SU~3 1 Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China,2 College of Mathematics and Information Science,Shandong Institute of Business and Technology,Yantai 264005,China,3 Department of Mathematics,University of Science and Technology of China,Hefei 230026,China.Hamiltonian type Lie bialgebras[J].Science China Mathematics,2007,50(9):1267-1279. 被引量：8
  • 2SONG Guang’ai & SU Yucai College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Lie bialgebras of generalized Witt type[J].Science China Mathematics,2006,49(4):533-544. 被引量：22

二级参考文献14

  • 1SONG Guang’ai & SU Yucai College of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China,Department of Mathematics, University of Science and Technology of China, Hefei 230026, China,Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Lie bialgebras of generalized Witt type[J].Science China Mathematics,2006,49(4):533-544. 被引量：22
  • 2SU Yucai & XU XiaopingDepartment of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China,Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Central simple Poisson algebras[J].Science China Mathematics,2004,47(2):245-263. 被引量：5
  • 3Yue Zhu WU,Guang Ai SONG,Yu Cai SU.Lie Bialgebras of Generalized Virasoro-like Type[J].Acta Mathematica Sinica,English Series,2006,22(6):1915-1922. 被引量：13
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Acta Mathematica Sinica,English Series
2012年 第11期

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