Article
Residually solvable extensions of pro-nilpotent Leibniz superalgebras
Author/s | Camacho Santana, Luisa María
Navarro, Rosa María Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2022 |
Deposit Date | 2022-07-04 |
Published in |
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Abstract | 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. |
Funding agencies | Agencia Estatal de Investigación. España Junta de Andalucía Junta de Extremadura |
Project ID. | PID2020-115155GB-I00
FEDER-UCA18-107643 GR18001 IB18032 |
Citation | 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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