LR-algebras
| dc.creator | Burde, Dietrich | |
| dc.creator | Dekimpe, Karel | |
| dc.creator | Deschamps, Sandra | |
| dc.date | 2008-01-08 | |
| dc.date.accessioned | 2026-07-07T08:53:18Z | |
| dc.date.available | 2026-07-07T08:53:18Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/0801.1280 | |
| dc.identifier | http://arxiv.org/abs/0801.1280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145575 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B30;17D25 | |
| dc.title | LR-algebras | |
| dc.type | text |