Drinfel'd偶的扭曲余积与Smash余积

On the Left Twisted Coalgebra for Drinfel'd Double and Smash Coproduct

本文利用双代数的同态性质，给出有限维Ｈｏｐｆ代数（Ｈ，Ｒ）是拟三角Ｈｏｐｆ代数的充要条件．通过定义左扭曲余积，证明了Ｄｒｉｎｆｅｌ＇ｄ偶的左扭曲余积与Ｓｍａｓｈ的余积同构．

In the paper, by use the properties of bialgebra homorphism.We give a necessary and Sufficient for finete dimensional Hopf algebra(H,R) (R∈HH) to be a quasitriangular Hopf algebra. We study the left twisted coalgebra and show that left twisted coalgehra for the Drinfel'd Double and Smash coproduct are isomorphic.