辫子Hopf代数上的对极与类群元

On the antipode and group-like elements of a braided Hopf algebra

设 (A ,σ)是辫子Hopf代数 ,s是A的对极 ,则s2 =v I v-1,其中v(x) =∑σ-1(sx1,x2 ) ,研究了s4 的性质以及 (A ,σ)中类群元的性质 ;对于Hopf代数A ,当A是有限维时 ,给出了s2

If (A,σ) is a braided Hopf algebra with antipode s and v(x)=∑σ + {-1 }(sx -1,x -2) ,then s +2=v*I*v + {-1 } .The author studied some propositions of s +4 and group-like element in(A,σ).When A is a finite dimentional Hopf algebra ,the author gives sufficient and necessary conditions for s +2 being inner.