The moduli space of 4-dimensional non-nilpotent complex associative algebras
Rings and Algebras
2013-09-25 v1
Abstract
In this paper we study the moduli space of 4-dimensional complex associative algebras. We use extensions to compute the moduli space, and then give a decomposition of this moduli space into strata consisting of complex projective orbifolds, glued together through jump deformations. Because the space of 4-dimensional algebras is large, we only classify the non-nilpotent algebras in this paper.
Keywords
Cite
@article{arxiv.1309.6050,
title = {The moduli space of 4-dimensional non-nilpotent complex associative algebras},
author = {Alice Fialowski and Michael Penkava},
journal= {arXiv preprint arXiv:1309.6050},
year = {2013}
}
Comments
26 pages, 2 figures