Artículo
Residually solvable extensions of pro-nilpotent Leibniz superalgebras
Autor/es | Camacho Santana, Luisa María
Navarro, Rosa María Omirov, Bakhrom Abdazovich |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2022 |
Fecha de depósito | 2022-07-04 |
Publicado en |
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Resumen | Throughout this paper we show that the method for describing finite-dimensional solvable
Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones,
or so-called residually solvable Leibniz ... Throughout this paper we show that the method for describing finite-dimensional solvable Leibniz superalgebras with a given nilradical can be extended to infinite-dimensional ones, or so-called residually solvable Leibniz superalgebras. Prior to that, we improve the solvable extension method for the finite-dimensional case obtaining new and important results. Additionally, we fully determine the residually solvable Lie and Leibniz superalgebras with maximal codimension of pro-nilpotent ideals the model filiform Lie and null filiform Leibniz superalgebras, respectively. Moreover, we prove that the residually solvable superalgebras obtained are complete. |
Agencias financiadoras | Agencia Estatal de Investigación. España Junta de Andalucía Junta de Extremadura |
Identificador del proyecto | PID2020-115155GB-I00
FEDER-UCA18-107643 GR18001 IB18032 |
Cita | Camacho Santana, L.M., Navarro, R.M. y Omirov, B.A. (2022). Residually solvable extensions of pro-nilpotent Leibniz superalgebras. Journal of Geometry and Physics, 172 (February 2022, art. nº104414) |
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