%0 Journal Article
%T Unimodular L-infinity algebras
%A Johan Gran£¿ker
%J Mathematics
%D 2008
%I arXiv
%X We give a new short proof that the wheeled operad of unimodular Lie algebras is Koszul and use this to explicitly construct its minimal resolution. A representation of this resolution in a finite dimensional vector space V we call a unimodular L-infinity algebra. Such a structure corresponds to a homological vector field on V together with an invariant measure. We present explicit formulae for homotopy transferred structures, define the deformation complex and give a cohomological obstruction to the extension of an arbitrary structure of finite dimensional L-infinity algebra to a structure of unimodular L-infinity algebra.
%U http://arxiv.org/abs/0803.1763v1