2021 •
Hopf–Galois structures on ambiskew polynomial rings
Authors: Bichon, Julien, García Iglesias, Agustín
Venue: Journal of Noncommutative Geometry
Type: Publication
Abstract: International audience; 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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