| 超Schrödinger代数J(1/1)的上同调 |
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| 引用本文： | 赵永生,朱林生.超Schrödinger代数J(1/1)的上同调[J].数学学报,2019,62(1):59-70. |
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| 作者姓名： | 赵永生 朱林生 |
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| 作者单位： | 1. 苏州科技大学数理学院 苏州 215009;
2. 江苏理工学院数理学院 常州 213001 |
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| 基金项目： | 国家自然科学基金资助项目（11271056） |
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| 摘 要： | 本文具体计算了系数在超Schrödinger代数J（1/1）的平凡模和有限维不可约模中的第一阶上同调群与第二阶上同调群，并给出了系数在通用包络代数U（J（1/1））中J（1/1）的第一阶与第二阶上同调群的维数是无限维的.
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Cohomology of the Super Schrödinger Algebra J (1/1) |
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| Yong Sheng ZHAO,Lin Sheng ZHU.Cohomology of the Super Schrödinger Algebra J (1/1)[J].Acta Mathematica Sinica,2019,62(1):59-70. |
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| Authors: | Yong Sheng ZHAO Lin Sheng ZHU |
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| Institution: | 1. School of Mathematics and physics, Suzhou University of Science and Technology, Suzhou 215009, P. R. China;
2. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, P. R. China |
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| Abstract: | We explicitly compute the first and second cohomology groups of the Super Schrödinger algebra J (1/1) with coefficients in the trivial module and the finitedimentional irreducible modules. We also show that the first and second cohomology groups of J (1/1) with coefficients in the universal enveloping algebras U(J (1/1)) (under the adjoint action) are infinite dimensional. |
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| Keywords: | super Schrödinger algebra first cohomology groups second cohomology groups |
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