Hopf代数余作用

Coactions of Hopf Algebras

中文关键词:  Hopf代数  余模代数  Morita Context

英文关键词:Hopf algebra  comodule algebra  morita context.

中文摘要:

      对于Ｈｏｐｆ代数Ｈ上的余模代数Ａ，当Ｈ是有限维或幺模（ｕｎｉｍｏｄｕｌａｒ）时，存在由交叉积Ａ＃Ｈ^＊ｒａｔ和余不变子代数Ａ^ｃｏＨ构成的Ｍｏｒｉｔａ Ｃｏｎｔｅｘｔ．本文论证了对于任意的Ｈｏｐｆ代数Ｈ，结果仍是成立的

英文摘要:

      For a given comodule algebra A over a Hopf algebra H , it is well known that there exists a Morita context based on the smash product A#H^＊ｒａｔ of A and H and the coinvariat subalgebra A^coH. We show in this paper that the result still holds for arbitrary H .