Article
Naturally graded quasi-filiform Leibniz algebras
Author/s | Camacho Santana, Luisa María
Gómez Martín, José Ramón González, A. J. Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2009 |
Deposit Date | 2021-07-02 |
Published in |
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Abstract | The classification of naturally graded quasi-filiform Lie algebras
is known; they have the characteristic sequence .n - 2; 1; 1/
where n is the dimension of the algebra. In the present paper we
deal with naturally graded ... The classification of naturally graded quasi-filiform Lie algebras is known; they have the characteristic sequence .n - 2; 1; 1/ where n is the dimension of the algebra. In the present paper we deal with naturally graded quasi-filiform non-Lie-Leibniz algebras which are described by the characteristic sequence C.L = n -2; 1; 1/ or C.L = n - 2; 2/. The first case has been studied in [Camacho, L.M., Gómez, J.R., González, A.J., Omirov, B.A., 2006. Naturally graded 2-filiform Leibniz Algebra and its applications, preprint, MA1-04-XI06] and now, we complete the classification of naturally graded quasi-filiform Leibniz algebras. For this purpose we use the software Mathematica (the program used is explained in the last section). |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-143 |
Citation | Camacho Santana, L.M., Gómez Martín, J.R., González, A.J. y Omirov, B.A. (2009). Naturally graded quasi-filiform Leibniz algebras. Journal of Symbolic Computation, 44 (5), 527-539. |
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