%0 Journal Article
%T Faithful representations of Lie algebras and Homogeneous Spaces
%A Petros A. Terzis
%J Mathematics
%D 2013
%I arXiv
%X The faithful representations of real Lie algebras g with dimensions $n\leq 4$ acting on the dual space of the universal covering algebra of an ideal s of g, are calculated. With the help of left and right translations of the Lie group, we define the homogeneous manifolds of dimension n and we calculate the Killing fields (generators of left translations), the invariant fields (generators of right translations) and the left invariant 1-forms.
%U http://arxiv.org/abs/1304.7894v2