%0 Journal Article %T Deformation of infinite dimensional differential graded Lie algebras %A Maxim Braverman %J Physics %D 1994 %I arXiv %X We introduce a notion of elliptic differential graded Lie algebra. The class of elliptic algebras contains such examples as the algebra of differential forms with values in endomorphisms of a flat vector bundle over a compact manifold, etc. For elliptic differential graded algebra we construct a complete set of deformations. We show that for several deformation problems the existence of a formal power series solution guarantees the existence of an analytic solution. %U http://arxiv.org/abs/hep-th/9411070v2