LR-algebras
Rings and Algebras
2008-01-09 v1
Abstract
In the study of NIL-affine actions on nilpotent Lie groups we introduced so called LR-structures on Lie algebras. The aim of this paper is to consider the existence question of LR-structures, and to start a structure theory of LR-algebras. We show that any Lie algebra admitting an LR-structure is 2-step solvable. Conversely we find several classes of 2-step solvable Lie algebras admitting an LR-structure, but also classes not admitting such a structure. We study also ideals in LR-algebras, and classify low-dimensional real LR-algebras.
Cite
@article{arxiv.0801.1280,
title = {LR-algebras},
author = {Dietrich Burde and Karel Dekimpe and Sandra Deschamps},
journal= {arXiv preprint arXiv:0801.1280},
year = {2008}
}