INVESTIGADORES
GARCIA IGLESIAS Agustin
artículos
Título:
Hopf-Galois structures on ambiskew polynomial rings
Autor/es:
BICHON, JULIEN; GARCÍA IGLESIAS, AGUSTÍN
Revista:
JOURNAL OF NONCOMMUTATIVE GEOMETRY
Editorial:
EUROPEAN MATHEMATICAL SOC
Referencias:
Lugar: Zürich; Año: 2020
ISSN:
1661-6952
Resumen:
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 $\underline{H}(R)$. Several examples are examined, including the Hopf-Galois objects over $U_q(\mathfrak{sl}_2)$.
