no. 9
Lie Algebras/Group Theory
Vanishing of H1 for Dedekind rings and applications to loop algebras
[Trivialité de H1 pour les anneaux de Dedekind, applications aux algèbres de lacets]
Présenté par : Jacques Tits
Pianzola, Arturo1
1 Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
Comptes Rendus. Mathématique, Tome 340 (2005) no. 9, pp. 633-638

We establish a version of Serre's ‘Conjecture I’ for Dedekind domains. As an application, we give a parametrization of twisted loop algebras by means of torsors.

Nous établissons une version de la « Conjecture I » de Serre pour les anneaux de Dedekind. Ceci nous permet de décrire les algèbres de lacets tordues en termes de torseurs.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.03.022

Pianzola, Arturo 1

1 Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada 
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Pianzola, Arturo. Vanishing of $ {H}^{1}$ for Dedekind rings and applications to loop algebras. Comptes Rendus. Mathématique, Tome 340 (2005) no. 9, pp. 633-638. doi: 10.1016/j.crma.2005.03.022

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