On the classification of Galois objects over the quantum group of a nondegenerate bilinear form.

Thomas Aubriot (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We study Galois and bi-Galois objects over the quantum group of a nondegenerate bilinear form, including the quantum group Oq(SL2). We obtain the classification of these objects up to isomorphism and some partial results for their classification up to homotopy.

Mots clés: Hopf-Galois extension; Hopf algebras; Homotopy

Domaines: Algèbres quantiques [math.QA]

Thomas Aubriot. On the classification of Galois objects over the quantum group of a nondegenerate bilinear form.. Manuscripta mathematica, 2007, 122 (1), pp.119--135. ⟨10.1007/s00229-006-0054-2⟩. ⟨hal-00078711v2⟩