Morita context of weak Hopf group coalgebras  

弱Hopf群余代数的Morita关系(英文)

作　　者：郭双建[1] 董丽红[1] 王栓宏[1] 

机构地区：[1]东南大学数学系,南京211189

出　　处：《Journal of Southeast University(English Edition)》2012年第3期372-374,共3页东南大学学报（英文版）

基　　金：The Scientific Research Innovation Project for College Graduates in Jiangsu Province(No.CXLX_0094)

摘　　要：The concept of weak Hopf group coalgebras is a natural generalization of the notions of both weak Hopf algebras（quantum groupoids） and Hopf group coalgebras.Let π be a group.The Morita context is considered in the sense of weak Hopf π-coalgebras.Let H be a finite type weak Hopf π-coalgebra,and A a weak right π-H-comodule algebra.It is constructed that a Morita context connects A#H＊ which is a weak smash product and the ring of coinvariants AcoH.This result is the generalization of that of Wang＇s in the paper ＂Morita contexts,π-Galois extensions for Hopf π-coalgebras＂ in 2006.Furthermore,the result is important for constructing weak π-Galois extensions.弱Hopf群余代数是弱Hopf代数和Hopf群余代数的自然推广.设π是一个群,在弱Hopfπ-余代数前提下考虑Morita关系,设H是有限型弱Hopf群余代数,A是弱右π-H-余模代数,构造了弱smash积A#H*和余不动点AcoH的Morita关系.这一结果推广了Wang发表于2006年的Morita contexts,π-Galois extensions for Hopf π-coalgebras一文中的结论.此结果对于构造弱π-Galois扩张是非常重要的.

关 键 词：weak Hopf π-coalgebra Morita context weak π-H-comodule algebra weak smash product 

分 类 号：O153.3[理学—数学]