微分分次Poisson Hopf代数的张量积  

The tensor product of differential graded Poisson Hopf algebras

作　　者：胡献国 郭梦甜 吕家凤[1] HU Xianguo;GUO Mengtian;LYU Jiafeng(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang Province,China)

机构地区：[1]浙江师范大学数学系,浙江金华321004

出　　处：《浙江大学学报（理学版）》2018年第6期651-655,672,共6页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(11571316);浙江省自然科学基金资助项目(LY16A010003)

摘　　要：证明了任意2个p次微分分次Poisson Hopf代数的张量积仍为p次微分分次Poisson Hopf代数.作为应用,证明了p次微分分次Poisson Hopf代数构成的范畴dg-PHA是对称monoidal范畴.This paper studies p-differential graded Poisson Hopf algebras and proves that the tensor product of p-differential graded Poisson Hopf algebras is also a p-differential graded Poisson Hopf algebra.As an application,we show that the category of p-differential graded Poisson Hopf algebras,denoted by dg-PHA,belongs to symmetric monoidal category.

关 键 词：p次微分分次Poisson HOPF代数 张量积 对称monoidal范畴 

分 类 号：O154.2[理学—数学]