弱广义对角交叉积的表示范畴

摘要

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 .%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.