Characteristically nilpotent Lie Algebras: a survey.

José M. Ancochea; Rutwig Campoamor

Displaying similar documents to “Characteristically nilpotent Lie Algebras: a survey.”

On $k$ -filiform Lie algebras. I.

Campoamor Stursberg, O.R. (2002)

Acta Mathematica Universitatis Comenianae. New Series

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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 $N_{n, 11}$ and $N_{n, 19}$ are introduced. Here $n$ denotes the dimension of the algebras that are defined for $n \geq 6$ ; 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 $N_{n, 11}$ and $N_{n, 19}$ all possible solvable extensions are constructed so that $N_{n, 11}$ and $N_{n, 19}$ serve as the nilradical of the corresponding solvable algebras. The construction continues Winternitz’ and colleagues’ program...

Maximal solvable extensions of filiform algebras

Libor Šnobl (2011)

Archivum Mathematicum

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It is already known that any filiform Lie algebra which possesses a codimension 2 solvable extension is naturally graded. Here we present an alternative derivation of this result.

Defining relations for classical Lie superalgebras without Cartan matrices.

Grozman, P., Leites, D., Poletaeva, E. (2002)

Homology, Homotopy and Applications

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On deformations and contractions of Lie algebras.

Fialowski, Alice, de Montigny, Marc (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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A Leibniz algebra structure on the second tensor power.

Kurdiani, R., Pirashvili, T. (2002)

Journal of Lie Theory

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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...

Quasigraded Lie algebras and modified Toda field equations.

Skrypnyk, Taras V. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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