弱Hopf群余代数的可裂扩张

doi:10.6040/j.issn.1671-9352.0.2014.518

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (12): 121-126.doi: 10.6040/j.issn.1671-9352.0.2014.518

弱Hopf群余代数的可裂扩张

王正萍¹, 杨仁明²

1. 滁州职业技术学院基础部, 安徽滁州 239000;
2. 山东交通学院信息科学与电气工程学院, 山东济南 250357

收稿日期:2014-11-23 修回日期:2015-11-18 出版日期:2015-12-20 发布日期:2015-12-23
作者简介:王正萍(1960-),女,硕士,副教授,研究方向为代数学.E-mail:zhengpingwang1960@163.com
基金资助:
安徽省高校省级自然科学重点项目资助(KJ2014A183)

Cleft extensions of weak Hopf group coalgebras

WANG Zheng-ping¹, YANG Ren-ming²

1. Chuzhou Vocational and Technical College, Chuzhou 239000, Anhui, China;
2. College of Information Science and Electrical Engineering, Shandong Jiaotong University, Jinan 250357, Shandong, China

Received:2014-11-23 Revised:2015-11-18 Online:2015-12-20 Published:2015-12-23

摘要/Abstract

摘要： 弱群交叉积是弱群smash积概念的推广,弱Hopf群余代数的作用是余循环的扭曲。引入了弱Hopf群余代数的可裂扩张的概念,并建立了弱Hopf群余代数上交叉积和可裂扩张之间的关系。

关键词: 弱Hopf群余代数, 交叉积, 可裂扩张

Abstract: Weak group crossed products are generalization of the weak group smash products, in which the action of the weak Hopf group coalgebras is twisted by a cocycle. The notion of cleft extensions of weak Hopf group coalgebras is introduced, and the relation between crossed products and cleft extensions of weak Hopf group coalgebras is established.

Key words: weak Hopf group coalgebras, cleft extensions, crossed products

中图分类号:

O153.3

王正萍, 杨仁明. 弱Hopf群余代数的可裂扩张[J]. 山东大学学报（理学版）, 2015, 50(12): 121-126.

WANG Zheng-ping, YANG Ren-ming. Cleft extensions of weak Hopf group coalgebras[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(12): 121-126.

参考文献

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弱Hopf群余代数的可裂扩张

Cleft extensions of weak Hopf group coalgebras

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