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arXiv · 1202.2967

Versal deformation theory of algebras over a quadratic operad

Alice Fialowski·Goutam Mukherjee·Anita Naolekar
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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.

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Alice Fialowski, Goutam Mukherjee, Anita Naolekar. 2012-02-14. Versal deformation theory of algebras over a quadratic operad. https://arxiv.org/abs/1202.2967

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