Simplicité abstraite des groupes de Kac–Moody non affines |
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Authors: | Pierre-Emmanuel Caprace Bertrand Rémy |
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Affiliation: | 1. Université Libre de Bruxelles, département de mathématiques, CP 216, boulevard du Triomphe, B-1050 Bruxelles, Belgique;2. Institut Camille-Jordan, UMR 5208 du CNRS, université de Lyon 1, 21, avenue Claude Bernard, 69622 Villeurbanne cedex, France |
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Abstract: | We announce the simplicity of non-affine Kac–Moody lattices (modulo center). The groups under consideration are minimal Kac–Moody groups. They were defined by Jacques Tits by means of a presentation à la Steinberg. The ground field is finite, assumed to be of cardinality greater than the rank of the buildings these groups naturally act upon. We work in the general combinatorial context of twin root data. To cite this article: P.-E. Caprace, B. Rémy, C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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