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

dc.creatorAubriot, Thomas
dc.date2005-03-15
dc.date2006-10-12
dc.date.accessioned2026-07-07T08:53:35Z
dc.date.available2026-07-07T08:53:35Z
dc.descriptionFor 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 $A\_λ$.
dc.descriptionTo appear in Communications in Algebra. In French
dc.identifierhttps://arxiv.org/abs/math/0503312
dc.identifierhttp://arxiv.org/abs/math/0503312
dc.identifierCommunication in Algebra 35, 12 (2007) 3919--3936
dc.identifierdoi:10.1080/00927870701509446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145670
dc.subjectQuantum Algebra
dc.subject16W30, 17B37, 55R10, 58B34, 81R50, 81R60
dc.titleClassification of Galois objects of Uq(g) up to homotopy equivalence
dc.typetext

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