Classification of four-dimensional Lie algebras admitting a para-hypercomplex structure
Differential Geometry
2007-05-23 v1
Abstract
The main goal is to classify 4-dimensional real Lie algebras which admit a para-hypercomplex structure. This is a step toward the classification of Lie groups admitting the corresponding left-invariant structure and therefore possessing a neutral, left-invariant, anti-self-dual metric. Our study is related to the work of Barberis who classified real, 4-dimensional simply-connected Lie groups which admit an invariant hypercomplex structure.
Cite
@article{arxiv.math/0310180,
title = {Classification of four-dimensional Lie algebras admitting a para-hypercomplex structure},
author = {N. Blazic and S. Vukmirovic},
journal= {arXiv preprint arXiv:math/0310180},
year = {2007}
}
Comments
15 pages