Imbedding of Lie triple systems into Lie algebras
Rings and Algebras
2009-06-08 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.0906.1170,
title = {Imbedding of Lie triple systems into Lie algebras},
author = {Oleg Smirnov},
journal= {arXiv preprint arXiv:0906.1170},
year = {2009}
}
Comments
13 pages