Yetter-Drinfeld拟模范畴上的Hopf拟模  

Hopf Quasimodules in Yetter-Drinfeld Quasimodule Category

作　　者：张涛 ZHANG Tao(School of Mathematics,Southeast University,Nanjing 210096,China)

机构地区：[1]东南大学数学学院,南京210096

出　　处：《吉林大学学报（理学版）》2020年第2期209-218,共10页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11371088,11571173,11871144);江苏省自然科学基金(批准号:BK20171348).

摘　　要：设L是域k上的一个有双射对极S_L的Hopf拟群.利用对偶的方法证明:如果H是一个Yetter-Drinfeld拟模范畴■上的有限维Hopf拟群,则其线性对偶空间H^*是■上的一个Hopf余拟群,且其Pontryagin对偶空间H^**■H也是一个Hopf拟群;进一步,H^*有一个■上的右H-Hopf拟模结构。Let Lbe a Hopf quasigroup over the ground field k with a bijective antipode SL.By using dual properties,the author first proved that if H was a finite dimensional Hopf quasigroup in Yetter-Drinfled quasimodule category ■,then its linear dual H^* was a Hopf coquasigroup in ■ and its Pontryagin dual spacey H^**■H was a Hopf quasigroup.Furthermore,H*had a right H-Hopf quasimodule structure in ■.

关 键 词：Hopf(余)拟群 Hopf拟模 Yetter-Drinfeld拟模 辫子张量范畴 对偶 

分 类 号：O153.5[理学—数学]