Article
On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical
Author/s | Camacho Santana, Luisa María
Navarro, R. M. Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2020 |
Deposit Date | 2021-07-02 |
Published in |
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Abstract | Along this paper we show that under certain conditions the method for describing
of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible
to Lie and Leibniz superalgebras, respectively. ... Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to Lie and Leibniz superalgebras, respectively. In particular, we totally determine the solvable Lie and Leibniz superalgebras with maximal codimension of model filiform and model nilpotent nilradicals. Finally, it is established that the superderivations of the obtained superalgebras are inner. |
Funding agencies | Agencia Estatal de Investigación. España |
Project ID. | MTM2016-79661-P |
Citation | Camacho Santana, L.M., Navarro, R.M. y Omirov, B.A. (2020). On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical. ArXiv.org, arXiv:2006.11732 |
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