Deformations of Algebras with 2-Extensions

We apply the notion of 2-extensions of algebras to the deformation theory of algebras. After standard results on butterflies between 2-extensions, we use this (2, 0)-category to give three perspectives on the deformation theory of algebras. We conclude by fixing an error in the literature.

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Author: Herr, Leo
Format: Article
Language:English
Subjects:
Algebra
Deformation
Online Access:Get full text
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Description
Summary:We apply the notion of 2-extensions of algebras to the deformation theory of algebras. After standard results on butterflies between 2-extensions, we use this (2, 0)-category to give three perspectives on the deformation theory of algebras. We conclude by fixing an error in the literature.
ISSN:2331-8422