Geodesic
Versal deformation theory of algebras over a quadratic operad
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 179-198.

Voir la notice de l'article provenant de la source International Press of Boston

We develop deformation theory of algebras over quadratic operads where the parameter space is a commutative local algebra. We also give a construction of a distinguised deformation of an algebra over a quadratic operad with a complete local algebra as its base—the so-called versal deformation—which induces all other deformations of the given algebra.
DOI : 10.4310/HHA.2014.v16.n1.a11
Classification : 17Axx, 18D50, 18G50
Keywords: operad, algebra, cohomology, versal, deformation, obstruction, convolution Lie algebra, Maurer-Cartan element 
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Alice Fialowski; Goutam Mukherjee; Anita Naolekar. Versal deformation theory of algebras over a quadratic operad. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 179-198. doi : 10.4310/HHA.2014.v16.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a11/

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