Deformation of infinite dimensional differential graded Lie algebras
High Energy Physics - Theory
2016-09-06 v2 Quantum Algebra
q-alg
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9411070,
title = {Deformation of infinite dimensional differential graded Lie algebras},
author = {Maxim Braverman},
journal= {arXiv preprint arXiv:hep-th/9411070},
year = {2016}
}
Comments
11 pages; AMS-TeX; no figures. A non-correct example was erased