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

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

2005-03-15

arxiv.org/abs/math/0503312v3

Communication in Algebra 35, 12 (2007) 3919--3936

Mathematics

Quantum Algebra

To appear in Communications in Algebra. In French

Scientific paper

10.1080/00927870701509446

For any Drinfeld-Jimbo quantum enveloping algebra Uq(g) and for any family
$\lambda =(\lambda \_{ij})\_{1\leq i < j\leq t} \in k^{\star}$ of invertible
elements of the base field, we explicitly construct a Galois object
$A\_{\lambda}$ 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 $A\_{\lambda}$.

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