【摘要】 设k是特征为0的代数闭域,H为k上的有限维余半单Hop f代数.首先证明了如果H具有型l∶1+m∶2+1∶3+…,则3整除H的维数;其次证明了如果H具有型l∶1+m∶2+…+1∶p+…,且H没有9维的单子余代数,则p整除H的维数,其中p为素数.更多还原

【Abstract】 Let H be a cosemisimple Hopf algebra over an algebraically closed field k of characteristic zero.This paper shows that if H is of type l∶1+m∶2+1∶3+…,then its dimension is divisible by 3.It also shows if H is of type l∶1+m∶2+…+1∶p+…,and H does not contain simple subcoalgebras of dimension 9,then p divides the dimension of H,where p is prime.更多还原