| 张庆成,张爽.广义Poisson超代数的同调与上同调群[J].数学年刊A辑,2011,32(3):257~266 |
| 广义Poisson超代数的同调与上同调群 |
| The Homology and Cohomology of Generalized Poisson Superalgebra |
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| DOI： |
| 中文关键词: 广义Poisson超代数 同调群 上同调群 |
| 英文关键词:Generalized Poisson superalgebra Homology group Cohomology group |
| 基金项目:国家自然科学基金(No.10871057); 中央高校基本科研业务费专项资金资助的项目 |
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| 中文摘要: |
| 给出了广义Poisson超代数的同调和上同调群的基本性质. 特别是, 通过Hochschild上同调以及长正合列, 建立了广义Poisson超代数上同调群的理论,
刻画了这种代数的低阶上同调群. 最后, 决定了5-正合列以及它的泛中心扩张的核. |
| 英文摘要: |
| This paper gives some basic properties of the homology and cohomology of generalized Poisson superalgebras. In particular,
its cohomology theory is set out from the Hochschild cohomology and the long exact sequence regarding the cohomology.
Its low dimensional cohomology groups are described as well. Finally, a 5-term
exact sequence of a generalized Poisson superalgebra and the kernel of its universal central extension are determined. |
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