Co-representations of prime dimension for cosemisimple Hopf algebras

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.