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

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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.

作者方小利

机构地区绍兴文理学院数学系东南大学数学系

出处《南京大学学报（数学半年刊）》 CAS 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).

关键词群余环弱群缠绕结构可逆弱群缠绕结构 group coring weak group entwining structure invertible weak group entwining structure

分类号 O153.3 [理学—基础数学]

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1方小利.弱群缠绕结构与弱Hopf群(余)代数(英文)[J].南京大学学报（数学半年刊）,2011,28(2):149-167.

南京大学学报（数学半年刊）

2010年第1期

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可逆弱群缠绕结构的例子与群余环(英文)

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