Characteristically nilpotent Lie Algebras: a survey.
José M. Ancochea, Rutwig Campoamor (2001)
Extracta Mathematicae
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Displaying similar documents to “On -filiform Lie algebras. I.”
Characteristically nilpotent Lie Algebras: a survey.
A Leibniz algebra structure on the second tensor power.
Kurdiani, R., Pirashvili, T. (2002)
Journal of Lie Theory
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An obstruction to represent abelian Lie algebras by unipotent matrices.
J. C. Benjumea, F. J. Echarte, Núñez, J.,Tenorio, A. F. (2004)
Extracta Mathematicae
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The aim of this paper is the study of abelian Lie algebras as subalgebras of the nilpotent Lie algebra gn associated with Lie groups of upper-triangular square matrices whose main diagonal is formed by 1. We also give an obstruction to obtain the abelian Lie algebra of dimension one unit less than the corresponding to gn as a Lie subalgebra of gn. Moreover, we give a procedure to obtain abelian Lie subalgebras of gn up to the dimension which we think it is the maximum.
About a family of naturally graded no p-filiform Lie algebras.
L. M. Camacho, J. R. Gómez, A. J. González (2005)
Extracta Mathematicae
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The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family...
Defining relations for classical Lie superalgebras without Cartan matrices.
Grozman, P., Leites, D., Poletaeva, E. (2002)
Homology, Homotopy and Applications
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Product structures on four dimensional solvable Lie algebras.
Andrada, A., Barberis, M.L., Dotti, I.G., Ovando, G.P. (2005)
Homology, Homotopy and Applications
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Classification of 4-dimensional nilpotent complex Leibniz algebras.
Sergio Albeverio, Bakhrom A. Omirov, Isamiddin S. Rakhimov (2006)
Extracta Mathematicae
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On the Cartan subalgebras of Lie algebras over small fields.
Siciliano, Salvatore (2003)
Journal of Lie Theory
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The variety of Lie bialgebras.
Ciccoli, Nicola, Guerra, Lucio (2003)
Journal of Lie Theory
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Solvable extensions of a special class of nilpotent Lie algebras
A. Shabanskaya, Gerard Thompson (2013)
Archivum Mathematicum
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A pair of sequences of nilpotent Lie algebras denoted by and are introduced. Here denotes the dimension of the algebras that are defined for ; the first term in the sequences are denoted by 6.11 and 6.19, respectively, in the standard list of six-dimensional Lie algebras. For each of and all possible solvable extensions are constructed so that and serve as the nilradical of the corresponding solvable algebras. The construction continues Winternitz’ and colleagues’ program...