RT Journal Article
T1 A filtration associated to an abelian inner ideal of a Lie algebra.
A1 García González, Esther
A1 Gómez-Lozano, Miguel Ángel
A1 Muñoz-Alcázar, Rubén José
K1 Lie, Álgebras de
K1 Grupos abelianos
K1 Anillos (Álgebra)
AB 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 [E. García, M. Gómez Lozano, Principal filtrations of Lie algebras, Commun. Algebra 40 (10) (2012) 3622–3628].
PB Elsevier
YR 2022
FD 2022-12-14
LK https://hdl.handle.net/10630/27994
UL https://hdl.handle.net/10630/27994
LA eng
NO 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
NO All authors were partially supported by the Junta de Andalucía FQM264, and by the Universidad de Málaga B4: Ayudas para Proyectos Puente UMA “Sistemas de Jordan, álgebras de Lie y estructuras relacionadas”.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026