弱Taft代数  

Weak Taft Algebras

作　　者：程东明[1] 贾鹏鹏[1] 周佳惠 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2015年第3期86-89,95,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11171296)

摘　　要：引入对应于Taft代数的弱Hopf代数,分别刻画了它们的代数结构和余代数结构。作为代数,对应于Taft代数的弱Hopf代数可分解为两个代数的直和,其中一个直和项就是Taft代数。用Ext箭图刻画了这些弱Hopf代数的余代数结构,发现它们都有一个子Hopf代数与Taft代数同构。The structures of weak Hopf algebras corresponding to Taft algebras were described by their algebra and coalgebra structures. The algebra structures of weak Hopf algebras corresponding to Taft algebras were decomposed into a direct sum of two algebras,one of which is Taft algebra. The coalgebra structures of these weak Hopf algebras were described by their Ext quivers. The weak Hopf extension of Taft algebra has a subHopf algebra which is isomorphic to Taft algebra.

关 键 词：弱HOPF代数 Taft代数 Ext箭图 

分 类 号：O153[理学—数学]