拟Hopf群余代数的对极

The Antipode of A Quasi-Hopf Group Coalgebra

不同于一般Hopf群余代数情形,拟Hopf群余代数的对极有着很多不同的性质,讨论拟Hopf群余代数上关于对极的若干性质并证明拟Hopf群余代数的对极在一般意义下不唯一.

Unlike the general Hopf group coalgebra,the antipode of the quasi-Hopf group coalgebra has many different properties.The paper mainly discusses some of the properties on the antipode of the quasi-Hopf group coalgebra,and proves that it is usually not unique.