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弱Hopf群T-余代数上的弱Doi-Hopf群模
引用本文:陈全国,汤建钢.弱Hopf群T-余代数上的弱Doi-Hopf群模[J].数学学报,2011(4):697-704.
作者姓名:陈全国  汤建钢
作者单位:伊犁师范学院数学系应用数学研究所
基金项目:国家自然科学基金资助项目(10871137)
摘    要:在弱Hopf群T-余代数情形下,弱量子Yetter-Drinfeld群模的概念被引入,并证明了弱量子Yetter-Drinfeld群模是特殊的弱Doi-Hopf群模.接着建立了弱量子Yetter Drinfeld群模范畴与弱Hopf群双余模代数的余不动点子代数B上模范畴之间的伴随对.最后考虑了弱量子Yetter-Drinfeld群模的积分.

关 键 词:弱Hopf群余代数  弱Doi-Hopf群模  弱量子Yetter-Drinfeld群模

Weak Doi-Hopf Group-Modules for Weak Hopf Group T-Coalgebras
Quan Guo CHEN Jian Gang TANG.Weak Doi-Hopf Group-Modules for Weak Hopf Group T-Coalgebras[J].Acta Mathematica Sinica,2011(4):697-704.
Authors:Quan Guo CHEN Jian Gang TANG
Institution:Quan Guo CHEN Jian Gang TANG Department of Mathematics,Institute of Applied Mathematics,ILi Normal College, Yi’ning 835000,P.R.China
Abstract:Weak quantum Yetter-Drinfeld modules for weak Hopf group T-coalgebras are introduced.Then,it is proved that weak quantum Yetter-Drinfeld modules are special case of weak Doi-Hopf group-modules.Also,a pair of adjoint functors between the category of weak quantum Yetter-Drinfeld modules and the category of the right B-module are constructed,where B is a subalgebra of coinvariance for a weak Hopf group-bicomodule algebra.Finally,the quantum integrals relative to weak quantum Yetter-Drinfeld modules are discussed.
Keywords:weak Hopf group-coalgebras  weak Doi-Hopf group-coalgebras  weak quantum Yetter-Drinfeld modules
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