Further results on semisimple Hopf algebras of dimension p2q2

Jingcheng Dong ^[1] ; Li Dai ^[1]
1. [1] Nanjing Agricultural University
  
  Nanjing Agricultural University
  
  China
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 53, Nº. 2, 2012, págs. 97-112
Idioma: inglés
Enlaces
- Texto completo (pdf)
Resumen
- 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.