Abstract
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.
Citation
Alice Fialowski. Goutam Mukherjee. Anita Naolekar. "Versal deformation theory of algebras over a quadratic operad." Homology Homotopy Appl. 16 (1) 179 - 198, 2014.
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