The dual and the double of a Hopf algebroid are Hopf algebroids

Abstract : Let H be a ×-bialgebra in the sense of Takeuchi. We show that if H is ×-Hopf, and if H fulfills the finiteness condition necessary to define its skew dual, then the coopposite of the latter is ×-Hopf as well. If in addition the coopposite ×-bialgebra of H is ×-Hopf, then the coopposite of the Drinfeld double of H is ×-Hopf, as is the Drinfeld double itself, under an additional finiteness condition.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01144711
Contributeur : Peter Schauenburg <>
Soumis le : mercredi 22 avril 2015 - 15:16:53
Dernière modification le : mercredi 27 juillet 2016 - 14:48:48

Identifiants

  • HAL Id : hal-01144711, version 1
  • ARXIV : 1504.05057

Collections

Citation

Peter Schauenburg. The dual and the double of a Hopf algebroid are Hopf algebroids. 2015. <hal-01144711>

Partager

Métriques

Consultations de la notice

33