| dc.contributor.author | García, Esther | |
| dc.contributor.author | Gómez Lozano, Miguel | |
| dc.contributor.author | Muñoz Alcázar, Rubén | |
| dc.date.accessioned | 2023-09-25T08:27:24Z | |
| dc.date.available | 2023-09-25T08:27:24Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Esther García, Miguel Gómez Lozano, Rubén Muñoz Alcázar, A filtration associated to an abelian inner ideal of a Lie algebra, Journal of Geometry and Physics, Volume 185, 2023, 104728, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2022.104728 | es |
| dc.identifier.issn | 0393-0440 | |
| dc.identifier.uri | https://hdl.handle.net/10115/24518 | |
| dc.description | We would like to thank the referee for his/her careful reading of the paper and his/her useful comments and remarks. | es |
| dc.description.abstract | Let B be an abelian inner ideal and let KerL B be the kernel of B. In this paper we show
that when there exists n ∈ N with [B,KerL B]
n ⊂ B, the inner ideal B induces a bounded
filtration in L where B is the first nonzero submodule of the filtration and where the wings
of the Lie algebra associated to the filtration coincide with the subquotient determined by
B. This filtration extends the principal filtration induced by ad-nilpotent elements of index
less than or equal to three defined in | es |
| dc.language.iso | eng | es |
| dc.publisher | Elsevier | es |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Lie algebra | es |
| dc.subject | Inner ideal | es |
| dc.subject | Subquotient | es |
| dc.title | A filtration associated to an abelian inner ideal of a Lie algebra | es |
| dc.type | info:eu-repo/semantics/article | es |
| dc.identifier.doi | 10.1016/j.geomphys.2022.104728 | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional