Article
Local Superderivations on Solvable Lie and Leibniz Superalgebras
Author/s | Camacho Santana, Luisa María
Navarro, Rosa María Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Publication Date | 2023-01-21 |
Deposit Date | 2023-04-11 |
Published in |
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Abstract | Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many local superderivations which are not standard superderivations. On the other hand, we show that every ... Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many local superderivations which are not standard superderivations. On the other hand, we show that every local superderivation is a superderivation on the maximal-dimensional solvable Lie superalgebras with model filiform or model nilpotent nilradical. Moreover, we extend the latter result for Leibniz superalgebras by showing that every local superderivation is a superderivation on the maximal-dimensional solvable Leibniz superalgebras with model filiform or model nilpotent non-Lie nilradical. |
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. (2023). Local Superderivations on Solvable Lie and Leibniz Superalgebras. Mediterranean Journal of Mathematics, 20 (76). https://doi.org/10.1007/s00009-023-02284-7. |
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s00009-023-02284-7.pdf | 440.7Kb | [PDF] | View/ | |
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