The Bianchi variety
Differential Geometry
2010-06-09 v2
Abstract
The totality Lie(V) of all Lie algebra structures on a vector space V over a field F is an algebraic variety over F on which the group GL(V) acts naturally. We give an explicit description of Lie(V) for dim V=3 which is based on the notion of compatibility of Lie algebra structures.
Keywords
Cite
@article{arxiv.1005.5355,
title = {The Bianchi variety},
author = {G. Moreno},
journal= {arXiv preprint arXiv:1005.5355},
year = {2010}
}
Comments
26 pages, 8 figures, to appear on Diff. Geom. Appl