J. M. Ancochea Bermudez, R. Campoamor – Stursberg, L. Garcia Vergnolle, Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical

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J. M. Ancochea Bermudez, R. Campoamor – Stursberg, L. Garcia Vergnolle
Indecomposable Lie algebras with nontrivial Levi decomposition cannot have filiform radical
Int. Math. Forum, Vol. 1, 2006, no. 5-8, 309 - 316
http://dx.doi.org/10.12988/imf.2006.06028
Copyright © 2006 J. M. Ancochea Bermudez, R. Campoamor – Stursberg and L. Garcia Vergnolle. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cited by (8):
Pilar Benito and Daniel de-la-Concepciîn, An overview of free nilpotent Lie algebras, Comment. Math. Univ. Carolin, 55 (2014), no. 3, 325-339 [View at Publisher]
J.M. Casas, M. Ladra, B.A. Omirov and I.A. Karimjanov, Classification of solvable Leibniz algebras with null-filiform nilradical, Linear and Multilinear Algebra, 61 (2013), no. 6, 758-774 [CrossRef]
Elisa M. Canete and Abror Kh. Khudoyberdiyev, The classification of 4-dimensional Leibniz algebras, Linear Algebra and its Applications, 439 (2013), no. 1, 273-288 [CrossRef]
J. M. Casas, M. Ladra, B.A. Omirov, I.A. Karimjanov, Classification of solvable Leibniz algebras with naturally graded filiform nilradical, Linear Algebra and its Applications, 438 (2013), no. 7, 2973-3000 [CrossRef]
Pilar Benito and Daniel de-la-Concepcion, On Levi extensions of nilpotent Lie algebras, Linear Algebra and its Applications, 439 (2013), no. 5, 1441-1457 [CrossRef]
Libor Snobl, On the structure of maximal solvable extensions and of Levi extensions of nilpotent Lie algebras, Journal of Physics A: Mathematical and Theoretical, 43 (2010), no. 50, 505202 [CrossRef]
Lucie Garcia Vergnolle, Etude geometrique et structures differentielles generalisees sur les algebres de Lie quasi-ﬁliformes complexes et reelles, Diss. Universidad Complutense de Madrid, 2010 [View at Publisher]
Wolfgang Alexander Moens, Faithful representations of minimal degree for Lie algebras with an abelian radical, Diss. Uniwien, 2009 [View at Publisher]

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