Drinfel'd偶的扭曲余积与Smash余积  

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

作　　者：赵文正[1] 

机构地区：[1]河南师范大学数学系

出　　处：《河南师范大学学报（自然科学版）》1998年第3期5-8,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：河南省科委与国家自然科学基金资助

摘　　要：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.

关 键 词：Drinfel'd偶 SMASH余积 HOPF代数 左扭曲余积 

分 类 号：O153.3[理学—数学]