References
- S. Albeverio, B.A. Omirov, and I.S. Rakhimov, Classification of 4-dimensional Nilpotent complex Leibniz algebras, Extracta Math. 21(3) (2006), pp. 197–210.
- J.C. Benjumea, J. Núñez, and Á.F. Tenorio, The maximal abelian dimension of linear algebras formed by strictly upper triangular matrices, Theoret. Math. Phys. 152(3) (2007), pp. 1225–1233. doi: 10.1007/s11232-007-0107-z
- D.W. Barnes, On Levi's theorem for Leibniz algebras, Bull. Aust. Math. 86(2) (2012), pp. 184–185. doi: 10.1017/S0004972711002954
- E.M. Cañete and A.K. Khudoyberdiyev, The classification of 4-dimensional Leibniz algebras, Linear Algebr. Appl. 439(1) (2013), pp. 273–288. doi: 10.1016/j.laa.2013.02.035
- J.M. Casas, M.A. Insua, M. Ladra, and S. Ladra, An algorithm for the classification of 3-dimensional complex Leibniz algebras, Linear Algebr. Appl. 436(9) (2012), pp. 3747–3756. doi: 10.1016/j.laa.2011.11.039
- J.M. Casas, M. Ladra, B.A. Omirov, and I.A. Karimjanov, Classification of solvable Leibniz algebras with null-filiform nilradical, Linear Multilinear Algebra 61(6) (2012), pp. 758–774. doi: 10.1080/03081087.2012.703194
- M. Ceballos, Abelian subalgebras and ideals of maximal dimension in Lie algebras, Ph.D. Thesis, University of Seville, 2012.
- M. Ceballos and D. Towers, On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras, J. Pure Appl. Algebra 218(3) (2014), pp. 497–503. doi: 10.1016/j.jpaa.2013.06.017
- M. Ceballos, J. Núñez, and Á.F. Tenorio, Algorithmic method to obtain abelian subalgebras and ideals in lie algebras, Int. J. Comput. Math. 89(10) (2012), pp. 1388–1411. doi: 10.1080/00207160.2012.688112
- J.R. Gómez and B.A. Omirov, On classification of complex filiform Leibniz algebras, arXiv:math/0612735v2 [math.RA].
- N. Jacobson, Lie Algebras, Interscience Publishers, Wiley, New York, 1962.
- E.E. Levi, Sulla struttura dei gruppi finiti e continui, Atti. Accad. Sci. Torino 40 (1905), pp. 551–565.
- J.L. Loday, Une version non commutative des algèbres de Lie: les algèbres de Leibniz, Enseign. Math. (2), 39 (1993), pp. 269–293.
- A.I. Malcev, Solvable Lie algebras, Trans. Am. Math. Soc. Transl. 9 (1962), pp. 228–262.
- H.S. Wilf, Algorithms and Complexity, Prentice-Hall, Englewood Cliffs, 1986.