Vanishing of $ {H}^{1}$ for Dedekind rings and applications to loop algebras

Arturo Pianzola

doi:10.1016/j.crma.2005.03.022

Lie Algebras/Group Theory

Vanishing of

H^{1}

for Dedekind rings and applications to loop algebras

Presented by: Jacques Tits

Arturo Pianzola ¹

¹ Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada

Comptes Rendus. Mathématique, Volume 340 (2005) no. 9, pp. 633-638.

Abstract
Résumé

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.

Received: 2004-10-25
Accepted: 2005-03-29
Published online: 2005-05-01

DOI: 10.1016/j.crma.2005.03.022

Author's affiliations:

Arturo Pianzola ¹

¹ Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada

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     title = {Vanishing of $ {H}^{1}$ for {Dedekind} rings and applications to loop algebras},
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Arturo Pianzola. Vanishing of $ {H}^{1}$ for Dedekind rings and applications to loop algebras. Comptes Rendus. Mathématique, Volume 340 (2005) no. 9, pp. 633-638. doi : 10.1016/j.crma.2005.03.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.03.022/

References
Cited by

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