Abstract
Abstract
We introduce the pseudo Maurer–Cartan perturbation algebra, establish a structural result and explore the structure of this algebra.
That structural result entails, as a consequence, what we refer to as the pseudo perturbation lemma.
This lemma, in turn, implies the ordinary perturbation lemma.
Reference54 articles.
1. Differential homological algebra and homogeneous spaces;J. Pure Appl. Algebra,1974
2. The free product of algebras;Illinois J. Math.,1968
3. The Lie algebra perturbation lemma;Higher Structures in Geometry and Physics,2011
4. Algèbres de Maurer–Cartan et holonomie;Ann. Fac. Sci. Toulouse Math. (5),1989
5. Rational homotopy-obstruction and perturbation theory;Algebraic Topology,1978