Xu, Qingzhou Noether theorem of semisimple Hopf algebra. (Chinese. English summary) Zbl 1126.16004 J. Xinyang Norm. Univ., Nat. Sci. 19, No. 2, 128-129 (2006). Summary: Let \(H\) be a finite-dimensional Hopf algebra, \(A\) be an \(H\)-module. This paper gives the definition of Sweedler \(H\)-cohomology, proves that \(H^1(H,A)=0\) when \(H\) is semisimple, which generalizes the classical Noether theorem. MSC: 16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) 16W30 Hopf algebras (associative rings and algebras) (MSC2000) Keywords:Hopf algebras; Sweedler cohomology; Noether theorem PDFBibTeX XMLCite \textit{Q. Xu}, J. Xinyang Norm. Univ., Nat. Sci. 19, No. 2, 128--129 (2006; Zbl 1126.16004)