弱Hopf群T-余代数上的弱Doi-Hopf群模  

Weak Doi-Hopf Group-Modules for Weak Hopf Group T-Coalgebras

作　　者：陈全国[1] 汤建钢[1] 

机构地区：[1]伊犁师范学院数学系应用数学研究所,伊宁835000

出　　处：《数学学报（中文版）》2011年第4期697-704,共8页Acta Mathematica Sinica：Chinese Series

基　　金：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.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.

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

分 类 号：O153.3[理学—数学]