arXiv subjects

Thomas Aubriot

Publications and source records attributed to Thomas Aubriot.

2 recordsLinked to original sources

arXiv2006

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

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.

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arXiv2006

Classification of Galois objects of Uq(g) up to homotopy equivalence

For any Drinfeld-Jimbo quantum enveloping algebra Uq(g) and for any family $λ=(λ\_{ij})\_{1\leq i < j\leq t} \in k^{\star}$ of invertible elements of the base field, we explicitly construct a Galois object $A\_λ$ of Uq(g) by generators and relations and we prove that any Galois object of Uq(g) is homotopic to a unique object of type $A\_λ$.

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