| Texto completo | |
| Autor(es): |
Conti, D.
;
del Barco, V.
;
Rossi, F. A.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. N/A, p. 26-pg., 2024-04-05. |
| Resumo | |
We proved in previous work that all real nilpotent Lie algebras of dimension up to 10 carrying an ad-invariant metric are nice, i.e. they admit a nice basis in the sense of Lauret et al. In this paper, we show by constructing explicit examples that nonnice irreducible nilpotent Lie algebras admitting an ad-invariant metric exist for every dimension greater than 10 and every nilpotency step greater than 2. In the way of doing so, we introduce a method to construct Lie algebras with ad-invariant metrics called the single extension, as a parallel to the well-known double extension procedure. (AU) | |
| Processo FAPESP: | 21/09197-8 - Métricas invariantes especiais em grupos de Lie e seus quocientes compactos |
| Beneficiário: | Viviana Jorgelina Del Barco |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 23/15089-9 - Aspectos da geometria conforme e Riemanniana em grupos de Lie e seus quocientes compactos. |
| Beneficiário: | Viviana Jorgelina Del Barco |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |