Comptes Rendus
no. 9-10
Group Theory/Harmonic Analysis
Semisimple Lie groups satisfy property RD, a short proof

Presented by: the Editorial Board

Adrien Boyer1
1 LATP, Centre de mathématiques et informatique (CMI), Aix–Marseille Université, Technopôle de Château-Gombert, 39, rue Frédéric-Joliot-Curie, 13453 Marseille cedex 13, France
Comptes Rendus. Mathématique, Volume 351 (2013) no. 9-10, pp. 335-338.

We give a short elementary proof of the fact that connected semisimple real Lie groups satisfy property RD. The proof is based on a process of linearisation.

Nous donnons dans cette note une preuve courte et élémentaire du fait que les groupes de Lie semi-simples réels connexes satisfont la propriété RD. La preuve est basée sur un procédé de linéarisation.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.05.007

Adrien Boyer 1

1 LATP, Centre de mathématiques et informatique (CMI), Aix–Marseille Université, Technopôle de Château-Gombert, 39, rue Frédéric-Joliot-Curie, 13453 Marseille cedex 13, France 
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Adrien Boyer. Semisimple Lie groups satisfy property RD, a short proof. Comptes Rendus. Mathématique, Volume 351 (2013) no. 9-10, pp. 335-338. doi : 10.1016/j.crma.2013.05.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.05.007/

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