A construction of deformations to general algebras
Dave Bowman, Dora Puljic, Agata Smoktunowicz
Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Rings and Algebras (math.RA)
One of the questions investigated in deformation theory is to determine to which algebras can a given associative algebra be deformed. In this paper we investigate a different but related question, namely: for a given associative finite-dimensional C-algebra A, find algebras N which can be deformed to A. We develop a simple method which produces associative and flat deformations to investigate this question. As an application of this method we answer a question of Michael Wemyss about deformations of contraction algebras.