A construction of deformations to general algebras

Dave  Bowman; Dora Puljic; Agata Smoktunowicz

doi:10.1093/imrn/rnae077

A construction of deformations to general algebras

Dave Bowman, Dora Puljic, Agata Smoktunowicz

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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 that 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.

Original language	English
Pages (from-to)	9827-9848
Journal	International Mathematics Research Notices
Volume	2024
Issue number	12
Early online date	21 Apr 2024
DOIs	https://doi.org/10.1093/imrn/rnae077
Publication status	Published - 30 Jun 2024

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10.1093/imrn/rnae077Licence: Creative Commons: Attribution (CC-BY)

A construction of deformations to generalAccepted author manuscript, 402 KB

https://arxiv.org/abs/2305.03446

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AB - 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 that 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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A construction of deformations to general algebras

Abstract

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