拟Hopf群余代数的对极  

The Antipode of A Quasi-Hopf Group Coalgebra

作　　者：冯丽娜 方小利[1] FENG Lina;FANG Xiaoli(School of Mathematics,Physics and Information Science,Shaoxing University,Shaoxing,Zhejing 312000)

机构地区：[1]绍兴文理学院数理信息学院,浙江绍兴312000

出　　处：《绍兴文理学院学报》2022年第2期108-114,共7页Journal of Shaoxing University

摘　　要：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.

关 键 词：HOPF群余代数 拟Hopf群余代数 对极 

分 类 号：O153[理学—数学]