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arXiv · 2305.03446

A construction of deformations to general algebras

Dave Bowman·Dora Puljic·Agata Smoktunowicz
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Abstract

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.

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Dave Bowman, Dora Puljic, Agata Smoktunowicz. 2023-05-05. A construction of deformations to general algebras. https://arxiv.org/abs/2305.03446

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