[Les groupes de Lie semi-simples ont la propriété RD, une preuve courte]
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.
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.
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@article{CRMATH_2013__351_9-10_335_0,
author = {Boyer, Adrien},
title = {Semisimple {Lie} groups satisfy property {RD,} a short proof},
journal = {Comptes Rendus. Math\'ematique},
pages = {335--338},
publisher = {Elsevier},
volume = {351},
number = {9-10},
year = {2013},
doi = {10.1016/j.crma.2013.05.007},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.05.007/}
}
TY - JOUR AU - Boyer, Adrien TI - Semisimple Lie groups satisfy property RD, a short proof JO - Comptes Rendus. Mathématique PY - 2013 SP - 335 EP - 338 VL - 351 IS - 9-10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.05.007/ DO - 10.1016/j.crma.2013.05.007 LA - en ID - CRMATH_2013__351_9-10_335_0 ER -
%0 Journal Article %A Boyer, Adrien %T Semisimple Lie groups satisfy property RD, a short proof %J Comptes Rendus. Mathématique %D 2013 %P 335-338 %V 351 %N 9-10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.05.007/ %R 10.1016/j.crma.2013.05.007 %G en %F CRMATH_2013__351_9-10_335_0
Boyer, Adrien. Semisimple Lie groups satisfy property RD, a short proof. Comptes Rendus. Mathématique, Tome 351 (2013) no. 9-10, pp. 335-338. doi : 10.1016/j.crma.2013.05.007. http://www.numdam.org/articles/10.1016/j.crma.2013.05.007/
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