摘要
给出了Hopf代数的余扭的定义,讨论了余扭的性质。由H的余扭σ诱导出一个新的Hopf代数Hσ。当H是有限维幺模Hopf代数时,描述了Hσ的左右积分元。当H是有限维半单Hopf代数时,证明了Hσ也是半单的。而且当H是有限维Hopf代数时,H的余扭实际上是对偶Hopf代数H*的扭。
The definition of cotwists for Hopf algebras is given,and the properties of cotwists are discussed.A new Hopf algebra Hσ is induced by the cotwist σ.When H is finite dimensional unimodular,the left and right integrals in Hσ are described.It is showed that if H is a finite dimensional semisimple Hopf algebra,then Hσ is semisimple too.Moreover,if H is finite dimensional,then a cotwist for H is in fact a twist for the dual Hopf algebra H＊.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2010年第1期38-41,共4页
Journal of Natural Science of Heilongjiang University
基金
Supported by the Natural Science Foundation of China(10771182)
