On the dimension of the sheets of a reductive Lie algebra

Anne Moreau (1)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]

This note is a corrigendum to the previous version http://arxiv.org/abs/0711.2735v3 published in J. Lie Theory. As it has been recently pointed out to me by Alexander Premet, Remark 3 of http://arxiv.org/abs/0711.2735v3 is incorrect. We verify in this note thanks to recent results of Premet and Topley (see http://arxiv.org/abs/1301.4653) that Theorem 25 of http://arxiv.org/abs/0711.2735v3 remains correct in spite of this error.

Mots clés: reductive Lie algebra; coadjoint orbit; sheet; index; Jordan class; induced nilpotent orbit; rigid nilpotent orbit.; rigid nilpotent orbit

Domaines: Théorie des représentations [math.RT]

Anne Moreau. On the dimension of the sheets of a reductive Lie algebra. Journal of Lie Theory, 2008, 18 (3), pp.671--696. ⟨hal-00188455v4⟩