Algebraic quantum hypergroups of discrete type

• Autores: Shuanhong Wang
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 108, Nº 2, 2011, págs. 198-222
• Idioma: inglés
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• Resumen

  • In this paper we will study some structures of algebraic quantum hypergroups. First, we construct more examples of algebraic quantum hypergroups of discrete type. Next, we introduce the notion of a generalized quasi-Frobenius multiplier Hopf algebra and then show that generalized quasi-Frobenius multiplier Hopf algebras are a class of algebraic quantum hypergroups of discrete type. We also give some equivalent conditions for an algebraic quantum group to be of discrete type. Finally, we study sub-algebraic quantum hypergroups of discrete type and quotients of algebraic quantum hypergroups of discrete type.