半单Hopf代数的Noether定理

Noether Theorem of Semisimple Hopf Algebra

设H是一个有限维Hopf代数,给出其上Sweed ler上同调的定义.证明了如果H是半单Hopf代数,则H1(H,A)=0,这里的A是一个H-模.所得结论推广了经典的Noether定理.

Let H be a finite-dimensional Hopf algebra, A be an H- module. This paper gives the detinition of Sweedler H- colomology, proves that H＇ （H,A） = 0 when H is semisimple, which generalizes the classical Noether theorem.