姚裕丰.Witt代数和Virasoro代数上的Poisson代数结构[J].数学年刊A辑,2013,34(1):111~128 |
Witt代数和Virasoro代数上的Poisson代数结构 |
Poisson Algebra Structures on the Witt Algebra and the Virasoro Algebra |
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DOI: |
中文关键词: Poisson 代数, Witt 代数, Virasoro代数, 形变, Leibniz 法则 |
英文关键词:Poisson algebra,Witt algebra,Virasoro algebra,Deformation,Leibniz law |
基金项目:国家自然科学基金 (No.11126062, No.11201293),上海市教委科研创新基金(No.13YZ077) |
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中文摘要: |
代数是指同时具有结合代数结构和李代数结构的一类代数,其结合代数结构和李代数结构满足 Leibniz 法则.确定了特征为0和特征为$p>0$的基域上的Witt代数和Virasoro代数上的Poisson代数结构. |
英文摘要: |
associative algebra structure and a Lie algebra structure, both of which satisfy the Leibniz law. The Poisson algebra structures on the Wittalgebra and the Virasoro algebra are determined in base fields of both characteristic zero and characteristic $p>0$. |
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