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The index of centralizers of elements of reductive Lie algebras

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 نشر من قبل Anne Moreau
 تاريخ النشر 2009
  مجال البحث
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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.

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