Solvable real rigid Lie algebras are not necessarily completely solvable [Les algèbres de Lie résolubles rigides réelles ne sont pas nécessairement complètement résolubles]

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that a solvable real rigid Lie algebra is not completelt rigid, by constructing an example of minimal dimension where the external torus is not spanned by $ad$-semisimple derivations over $\mathbb{R}$. We analyze the real forms of nilradicals of solvable rigid Lie algebras in dimensions $n\leq 7$ and give the real classification for dimension 8.
8 pages, text in french

Keywords

Representation Theory, 17B30, 17B56

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/103655

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510275
 http://arxiv.org/abs/math/0510275

Collections

arXiv