Non Complete Affine Connections on Filiform Lie Groups
Rings and Algebras
2007-05-23 v1 Differential Geometry
Representation Theory
Abstract
We give some examples of non-complete invariant affine connections on nilpotent and filiform Lie groups. This permits to describe non-nilpotent faithful representations on the model of filiform n-dimensional Lie algebras and, in particular, on the 3 dimensional Heisenberg algebra.
Cite
@article{arxiv.math/0007067,
title = {Non Complete Affine Connections on Filiform Lie Groups},
author = {Elisabeth Remm and Michel Goze},
journal= {arXiv preprint arXiv:math/0007067},
year = {2007}
}
Comments
6 pages