Deformations of Four Dimensional Lie Algebras
Representation Theory
2007-05-23 v1 Quantum Algebra
Abstract
We study the moduli space of four dimensional ordinary Lie algebras, and their versal deformations. Their classification is well known; our focus in this paper is on the deformations, which yield a picture of how the moduli space is assembled. Surprisingly, we get a nice geometric description of this moduli space essentially as an orbifold, with just a few exceptional points.
Cite
@article{arxiv.math/0512354,
title = {Deformations of Four Dimensional Lie Algebras},
author = {Alice Fialowski and Michael Penkava},
journal= {arXiv preprint arXiv:math/0512354},
year = {2007}
}
Comments
41 pages, 1 figure