在Yetter-Drinfel′d范畴中的对偶

On the Dualities in YetterDrimfeld Categories

设 Ａ 为 Ｙｅｔｔｅｒ－ Ｄｒｉｎｆｅｌ′ｄ 范畴中的一个有限维 Ｈｏｐｆ 代数，那么 Ａ°也为该范畴中的一个 Ｈｏｐｆ代数．本文以不同的证法论证了文［１］的结果．

In this paper,we show that if H is any Hopf algebra with a bilective antipode S , H HYD the Yetter-Drinfel ′d category,and A a finite dimensional Hopf algebra in H HYD ,then A° is also a Hopf algebra in H HYD .