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arXiv:0904.1778 [math.RT]AbstractReferencesReviewsResources

The index of centralizers of elements of reductive Lie algebras

Jean-Yves Charbonnel, Anne Moreau

Published 2009-04-11, updated 2015-10-23Version 2

For a finite dimensional complex Lie algebra, its index is the minimal dimension of stabilizers for the coadjoint action. A famous conjecture due to Elashvili says that the index of the centralizer of an element of a reductive Lie algebra is equal to the rank. That conjecture caught attention of several Lie theorists for years. In this paper we give an almost general proof of that conjecture.

Comments: 27 pages in English. Lemmas 3.1 and 3.2 are removed. So Theorem 3.3 becomes Theorem 3.1 and its proof is simplified
Categories: math.RT
Subjects: 22E46, 17B80, 17B20
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