弱相关Hopf模范畴及函子

数学物理学报 ›› 2010, Vol. 30 ›› Issue (6): 1575-1581.

弱相关Hopf模范畴及函子

张良云

南京农业大学理学院南京 210095

收稿日期:2008-03-27 修回日期:2009-08-04 出版日期:2010-12-25 发布日期:2010-12-25

Categories and Functions of Weak Relative Hopf Modules

ZHANG Liang-Yun

College of Science, Nanjing Agricultural University, Nanjing 210095

Received:2008-03-27 Revised:2009-08-04 Online:2010-12-25 Published:2010-12-25

摘要/Abstract

摘要：

该文给出了弱相关Hopf模范畴和余不变子模范畴之间的关系, 以及余不变函子(•)^coH和诱导Ind=•\otimes_BA的一些应用, 并且证明了弱相关Hopf模范畴_AM ^H*同构于弱smash积模范畴_A#H M.

关键词: 弱余模代数, 弱模代数, 弱相关Hopf模, 群像元

Abstract:

In this paper, the author gives relations between the category of coinvariant modules and the category of weak relative Hopf modules, and gives some applications of the coinvariant functor (•)^coH and the induced functor Ind==•\otimes_BA. Moreover, it is showed that the category _AM ^H* of weak relative Hopf modules is isomorphic to the category _A#H M of weak smash product modules.

Key words: Weak comodule algebra, Weak module algebra, Weak relative Hopf module, Group-like element

中图分类号:

16W30

张良云. 弱相关Hopf模范畴及函子[J]. 数学物理学报, 2010, 30(6): 1575-1581.

ZHANG Liang-Yun. Categories and Functions of Weak Relative Hopf Modules[J]. Acta mathematica scientia,Series A, 2010, 30(6): 1575-1581.

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