On a class of finitary Lie algebras characterized through derivations
Let L be an infinite-dimensional simple Lie algebra over a field of
characteristic 0. Then there exist a derivation d on L and n at least 2 such
that dn is a nonzero finite rank map if and only if L is finitary and
contains a nonzero finite-dimensional abelian inner ideal. This is a partial
statement of our main theorem. As auxiliary results needed for the proof we
establish some properties of derivations in general nonassociative algebras.
(This paper has appeared in Proc. Amer. Math. Soc. 38 (12) (2010),
4161-4166.)
M. Bresar < matej.bresar@fmf.uni-lj.si >
A. Fernández López < emalfer@uma.es >