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n次微分分次Poisson模范畴
The category of n-differential graded Poisson module
【摘要】 给出了左n次微分分次Poisson模的定义.令A是n次微分分次Poisson代数,根据A构造了一个新的微分分次代数B.同时证明了A上的左n次微分分次Poisson模范畴同构于B上的左微分分次模范畴.
【Abstract】 The notion of a left n-differential graded Poisson module was given. Supposed A is an n-differential graded Poisson algebra,a new differential graded algebra B was constructed. The categories of left n-differential graded Poisson modules over A is isomorphic to the categories of left differential graded modules over B was proved.
【关键词】 微分分次Poisson代数;
微分分次Poisson模;
微分分次代数;
李代数;
【Key words】 graded Poisson algebras; graded Poisson module; differential graded algebra; Lie algebras;
【Key words】 graded Poisson algebras; graded Poisson module; differential graded algebra; Lie algebras;
【基金】 国家自然科学基金资助项目(11571316)
- 【文献出处】 浙江师范大学学报(自然科学版) ,Journal of Zhejiang Normal University(Natural Sciences) , 编辑部邮箱 ,2016年01期
- 【分类号】O153.3
- 【下载频次】18