Dual constructions for partial actions of Hopf algebras

• Eliezer Batista ^[1] ; Joost Vercruysse ^[2]
  1. [1] Universidade Federal de Santa Catarina

     Universidade Federal de Santa Catarina

     Brasil

     
  2. [2] Université Libre de Bruxelles

     Université Libre de Bruxelles

     Arrondissement Brussel-Hoofdstad, Bélgica

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 2 (February 2016), 2016, págs. 518-559
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.05.014
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• Resumen

  • The duality between partial actions (partial H-module algebras) and co-actions (partial H-comodule algebras) of a Hopf algebra H is fully explored in this work. A connection between partial (co)actions and Hopf algebroids is established under certain commutativity conditions. Moreover, we continue this duality study, introducing also partial H-module coalgebras and their associated C-rings, partial H-comodule coalgebras and their associated cosmash coproducts, as well as the mutual interrelations between these structures.