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Article Dans Une Revue Canadian Journal of Mathematics Année : 2004

Sur les éléments unipotents réguliers des sous-groupes de Levi

Résumé

We investigate the structure of the centralizer of a regular unipotent element of a Levi subgroup of a reductive group. We also investigate the structure of the group of components of this centralizer in relation with the notion of cuspidal local system defined by Lusztig. We determine its unipotent radical, we prove that it admits a Levi complement, and we get some properties on its Weyl group. As an application, we prove some results which were announced in a previous paper on regular unipotent elements.

Dates et versions

hal-00318678 , version 1 (04-09-2008)

Identifiants

Citer

Cédric Bonnafé. Sur les éléments unipotents réguliers des sous-groupes de Levi. Canadian Journal of Mathematics, 2004, 56 (2), pp.246-276. ⟨10.4153/CJM-2004-012-0⟩. ⟨hal-00318678⟩
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