Resumen de Further results on semisimple Hopf algebras of dimension p2q2

Jingcheng Dong, Li Dai

• Let p, q be distinct prime numbers, and k an algebraically closed field of characteristic 0. Under certain restrictions on p, q, we discuss the structure of semisimple Hopf algebras of dimension p2q2. As an application, we obtain the structure theorems for semisimple Hopf algebras of dimension 9q2 over k. As a byproduct, we also prove that odd-dimensional semisimple Hopf algebras of dimension less than 600 are of Frobenius type.