Complete LR-structures on solvable Lie algebras
Rings and Algebras
2009-06-08 v1 Differential Geometry
Abstract
An LR-structure on a Lie algebra is a bilinear product, satisfying certain commutativity relations, and which is compatible with the Lie product. LR-structures arise in the study of simply transitive affine actions on Lie groups. In particular one is interested in the question which Lie algebras admit a complete LR-structure. In this paper we show that a Lie algebra admits a complete LR-structure if and only if it admits any LR-structure.
Cite
@article{arxiv.0906.1151,
title = {Complete LR-structures on solvable Lie algebras},
author = {Dietrich Burde and Karel Dekimpe and Kim Vercammen},
journal= {arXiv preprint arXiv:0906.1151},
year = {2009}
}