可逆弱群缠绕结构的例子与群余环(英文)  

EXAMPLES OF INVERTIBLE WEAK GROUP ENTWINING STRUCTURES AND GROUP CORINGS

作　　者：方小利[1,2] 

机构地区：[1]绍兴文理学院数学系,绍兴312000 [2]东南大学数学系,南京210096

出　　处：《南京大学学报（数学半年刊）》2010年第1期57-74,共18页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：Supported by the Jiansu Postdoctoral Foundation(0902081C);Zhejiang Provincial Education Department Project(Y200907995).

摘　　要：作为弱缠绕结构的自然推广,我们引进了(广义)弱群缠绕结构的概念,并通过弱Hopf群余代数构造了一些例子.进一步,通过弱Hopf群余代数也构造了可逆弱群缠绕结构的例子.在这篇文章中,我们还用群余环解释这些概念的重要性.The notions of（generalized） weak group entwining structures are defined as a natural generalization of a weak entwining structure,and some examples are constructed from weak Hopf group calgebras.Furthermore,some interesting examples of an invertible weak group entwining structure can be obtained from weak Hopf group calgebras.In the paper,we also explain the significance of these notions in term of group corings which is a generalization as a group coalgebra.

关 键 词：群余环 弱群缠绕结构 可逆弱群缠绕结构 

分 类 号：O153.3[理学—数学]