Soit une algèbre de Jordan simple euclidienne de dimension finie et le cône symétrique associé. Nous étudions dans cet article le semi-groupe , naturellement associé à , formé des automorphismes holomorphes du domaine tube qui appliquent le cône dans lui-même.
To any formally real Jordan algebra one may attach a symmetric cone. We study the sub-semigroup of elements of the conformal group which map the cone into itself.
@article{AIF_1995__45_1_1_0,
author = {Koufany, Khalid},
title = {Semi-groupe de Lie associ\'e \`a un c\^one sym\'etrique},
journal = {Annales de l'Institut Fourier},
volume = {45},
year = {1995},
pages = {1-29},
doi = {10.5802/aif.1446},
mrnumber = {96a:22010},
zbl = {0855.22004},
language = {fr},
url = {http://dml.mathdoc.fr/item/AIF_1995__45_1_1_0}
}
Koufany, Khalid. Semi-groupe de Lie associé à un cône symétrique. Annales de l'Institut Fourier, Tome 45 (1995) pp. 1-29. doi : 10.5802/aif.1446. http://gdmltest.u-ga.fr/item/AIF_1995__45_1_1_0/
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