Homology, Homotopy and Applications
Volume 16 (2014)
Versal deformation theory of algebras over a quadratic operad
Pages: 179 – 198
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.
operad, algebra, cohomology, versal, deformation, obstruction, convolution Lie algebra, Maurer-Cartan element
2010 Mathematics Subject Classification
17Axx, 18D50, 18G50