2026-05-31T10:14:48Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/348992026-02-03T11:39:10Zcom_10630_2254col_10630_37956

A filtration associated to an abelian inner ideal and the speciality of the subquotient of a Lie algebra. García, Esther Gómez-Lozano, Miguel Ángel Muñoz-Alcázar, Rubén José Dobrev, Vladimir Álgebras de Lie Categorías (Matemáticas) Política de acceso abierto tomada de: https://www.springernature.com/gp/open-science/policies/book-policies For any abelian inner ideal B of a Lie algebra L such that [B, KerB]^n ⊆ B for some natural n, we build a bounded filtration whose first nonzero term is B and the extremes of the induced Z-graded Lie algebra coincide with the subquotient (B, L/KerB). Thanks to this fi ltration, we can prove that when a Lie algebra L is strongly prime and KerB is not a subalgebra of L, then subquotient (B, L=KerB) is a special strongly prime Jordan pair. 2024-10-25T06:40:58Z 2024-10-25T06:40:58Z 2022 book part https://hdl.handle.net/10630/34899 10.1007/978-981-19-4751-3 eng open access Springer Nature