FURTHER RESULTS ON SEMISIMPLE HOPF ALGEBRAS OF DIMENSION pq

نویسندگان

  • JINGCHENG DONG
  • LI DAI
  • Jingcheng Dong
  • Li Dai
چکیده

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 pq. As an application, we obtain the structure theorems for semisimple Hopf algebras of dimension 9q over k. As a byproduct, we also prove that odd-dimensional semisimple Hopf algebras of dimension less than 600 are of Frobenius type.

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تاریخ انتشار 2012