Artículo
On Naturally Graded Lie and Leibniz Superalgebras
Autor/es | Camacho Santana, Luisa María
Navarro, R. M. Sánchez, J. M. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2020 |
Fecha de depósito | 2021-07-02 |
Publicado en |
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Resumen | In general, the study of gradations has always represented a cornerstone in the study
of non-associative algebras. In particular, natural gradation can be considered to be
the first and most relevant gradation of nilpotent ... In general, the study of gradations has always represented a cornerstone in the study of non-associative algebras. In particular, natural gradation can be considered to be the first and most relevant gradation of nilpotent Leibniz (resp. Lie) algebras. In fact, many families of relevant solvable Leibniz (resp. Lie) algebras have been obtained by extensions of naturally graded algebras, i.e., solvable algebras with a wellstructured nilradical. Thus, the aim of this work is introducing the concept of natural gradation for Lie and Leibniz superalgebras. Moreover, after having defined naturally graded Lie and Leibniz superalgebras, we characterize natural gradations on a very important class of each of them, that is, those with maximal supernilindex. |
Agencias financiadoras | Agencia Estatal de Investigación. España Junta de Andalucía |
Identificador del proyecto | MTM2016-79661-P
FQM-298 |
Cita | Camacho Santana, L.M., Navarro, R.M. y Sánchez, J.M. (2020). On Naturally Graded Lie and Leibniz Superalgebras. Bulletin of the Malaysian Mathematical Sciences Society, 43 (5), 3411-3435. |
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