| Cohomology of the Schrdinger Algebra S(1) |
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| 作者姓名： | Yue Zhu WU, Xiao Qing YUE, Lin Sheng ZHU |
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| 作者单位： | [1]Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, P. R. China; [2]Department of Mathematics, Tongji University, Shanghai 200092, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China （Grant No. 11271056）, Jiangsu Overseas Research ＆： Training Program for University Prominent Young ＆ Middle-aged Teachers and Presidents, and the Fundamental Research Funds for the Central Universities |
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| 摘 要： | We explicitly compute the first and second cohomology groups of the Schrdinger algebra S(1) with coefficients in the trivial module and the finite-dimensional irreducible modules.We also show that the first and second cohomology groups of S(1) with coefficients in the universal enveloping algebras U(S(1))(under the adjoint action) are infinite dimensional.
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| 关 键 词： | 包络代数 上同调 不可约 有限维 系数和 无穷维 同调群 模块 |
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