弱广义对角交叉积的表示范畴

The representation category of weak generalized diagonal crossed product

引入弱(H,A)-Yetter Drinfeld模和弱广义对角交叉积代数,证明了弱广义对角交叉积的表示范畴同构于弱(H,A)-Yetter Drinfeld模范畴.

The notions of weak（H,A）-Yetter Drinfeld datum and weak generalized diagonal cross product algebra are introduced.We prove that the category of modules over a weak（H,A）-Yetter Drinfeld datum is isomorphic to the representation category of H＊■A,which is an induced associative algebra called weak generalized diagonal cross product.