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| Detailed view | Article in peer-reviewed journal |
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| Communication in Algebra 35, 12 (2007) 3919--3936 |
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| Available versions: | v1 (2005-03-15) | v2 (2005-08-23) | v3 (2006-10-12) |
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| Classification of Galois objects of Uq(g) up to homotopy equivalence |
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| Thomas Aubriot1 |
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| 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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| 1: | IRMA - Institut de Recherche Mathématique Avancée |
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| Galois extension – Hopf algebra – Drinfeld-Jimbo quantum group – Homotopy – Noncommutative geometry – Principal fibre bundle |
| hal-00004479, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00004479 | |
| oai:hal.archives-ouvertes.fr:hal-00004479 | |
| From: Thomas Aubriot | |
| Submitted on: Thursday, 12 October 2006 15:49:35 | |
| Updated on: Thursday, 10 January 2008 10:58:04 | |
