%0 Journal Article
%T Imbedding of Lie triple systems into Lie algebras
%A Oleg Smirnov
%J Mathematics
%D 2009
%I arXiv
%X We show that the category of Lie triple systems is equivalent to the category of Lie algebras graded by Z/(2Z) such that the odd component generates the algbera and the second graded cohomology group coefficients in any trivial module is zero. As a corollary we obtain an analogous result for symmetric spaces and Lie groups.
%U http://arxiv.org/abs/0906.1170v1