【摘要】 设H和A都是半单Hopf代数,π:H→A是Hopf代数同态,Hπ是H的余不变子空间.通过对两类半单Hopf代数的余不变子空间的分析,证明了它们均含有一个正规的子Hopf代数,从而都不是单Hopf代数.更多还原

【Abstract】 Let H,Abe semisimple Hopf algebras,π:H→Abe a Hopf algebra morphism,and Hπbe the coinvariant subspace of H.By analyzing the coinvariant subspaces of two classes of semisimple Hopf algebras,this paper proves that they both contain normal Hopf subalgebras,and hence they are not simple.更多还原