Lie Algebras with Abelian Centralizers

نویسنده

  • IGOR KLEP
چکیده

We classify all finite dimensional Lie algebras over an algebraically closed field of characteristic 0, whose nonzero elements have abelian centralizers. These algebras are either simple or solvable, where the only simple such Lie algebra is sl2. In the solvable case they are either abelian or a one-dimensional split extension of an abelian Lie algebra.

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تاریخ انتشار 2007