English

Deformations of Algebras with 2-Extensions

Algebraic Geometry 2022-04-27 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.2204.12040,
  title  = {Deformations of Algebras with 2-Extensions},
  author = {Leo Herr},
  journal= {arXiv preprint arXiv:2204.12040},
  year   = {2022}
}

Comments

26 pages. Comments welcome!