弱T余代数上的弱Doi-Hopf π-模和弱Yetter-Drinfeld π-模

摘要

本文揭示了弱Doi-Hopf π-模范畴和弱Yetter-Drinfeld π-模范畴之间的密切联系,并证明了弱Yetter-Drinfeld π-模范畴同构于一个T-范畴的中心.%In this note we reveal the deep relation between the category of weak Doi-Hopf group modules and that of weak Yetter-Drinfeld group modules. Furthermore we also show the category of weak Yetter-Drinfeld group modules is isomorphic to the center of a T-category. These extend the classical theories of weak Hopf algebra.