paper

Deformations of Algebras with 2-Extensions

arXiv:2204.12040

Abstract

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.

26 pages. Comments welcome!

Deformations of Algebras with 2-Extensions · wovepaper