Hopf-Galois structures on ambiskew polynomial rings

Abstract : We provide necessary and sufficient conditions to extend the Hopf-Galois algebra structure on an algebra R to a generalized ambiskew ring based on R, in a way such that the added variables for the extension are skew-primitive in an appropriate sense. We show that the associated Hopf algebra is again a a generalized ambiskew ring, based on a suitable Hopf algebra H(R). Several examples are examined, including the Hopf-Galois objects over Uq(sl2).
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Contributor : Julien Bichon <>
Submitted on : Tuesday, October 29, 2019 - 11:22:31 AM
Last modification on : Friday, November 1, 2019 - 1:29:21 AM

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  • HAL Id : hal-02336997, version 1
  • ARXIV : 1910.14363

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Julien Bichon, Agustín García Iglesias. Hopf-Galois structures on ambiskew polynomial rings. 2019. ⟨hal-02336997⟩

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