On semisimple hopf algebras with few representations of dimension greater than one

• Autores: V. A. Artamonov
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 51, Nº. 2, 2010, págs. 91-105
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • In the paper we consider semisimple Hopf algebras H with the following property: irreducible H-modules of the same dimension > 1 are isomorphic.

    Suppose that there exists an irreducible H-module M of dimension > 1 such that its endomorphism ring is a Hopf ideal in H. Then M is the unique irreducible H-module of dimension > 1.