2-step nilpotent Lie groups arising from semisimple modules
Differential Geometry
2008-06-18 v1
Abstract
Every finite dimensional real representation of a compact real semisimple Lie algebra determines a metric 2-step nilpotent Lie algebra and a corresponding simply connected metric 2-step nilpotent Lie group N. We study the differential geometry of N using representation theory of the complexified complex semisimple Lie algebra.
Cite
@article{arxiv.0806.2844,
title = {2-step nilpotent Lie groups arising from semisimple modules},
author = {Patrick Eberlein},
journal= {arXiv preprint arXiv:0806.2844},
year = {2008}
}
Comments
54 pages