arXiv math/05033122005-03math.QA

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

Thomas Aubriot

备注：: To appear in Communications in Algebra. In French
发表信息：: Communication in Algebra 35, 12 (2007) 3919--3936
DOI：: 10.1080/00927870701509446

英文摘要：

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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