Artículo
Complex cyclic Leibniz superalgebras
Autor/es | Camacho Santana, Luisa María
Navarro, R. M. Omirov, Bakhrom Abdazovich |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2020 |
Fecha de depósito | 2021-07-01 |
Publicado en |
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Resumen | Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras,
many results of the theory of Lie algebras have been extended to Leibniz algebras.
Cyclic Leibniz algebras, which are generated by one ... Since Loday introduction of Leibniz algebras as a generalisation of Lie algebras, many results of the theory of Lie algebras have been extended to Leibniz algebras. Cyclic Leibniz algebras, which are generated by one element, have no equivalent into Lie algebras, though. This fact provides cyclic Leibniz algebras with important properties. Throughout the present paper we extend the concept of cyclic to Leibniz superalgebras, obtaining then the definition, as long as the description and classification of finite-dimensional complex cyclic Leibniz superalgebras. Furthermore, we prove that any cyclic Leibniz superalgebra can be obtained by means of infinitesimal deformations of the null-filiform Leibniz superalgebra. We also obtain a description of irreducible components in the variety of Leibniz algebras and superalgebras. |
Agencias financiadoras | Agencia Estatal de Investigación. España European Union (UE) Junta de Andalucía |
Identificador del proyecto | MTM2016-79661-P
2014-2020 ERDF FEDER-UCA18-107643 |
Cita | Camacho Santana, L.M., Navarro, R.M. y Omirov, B.A. (2020). Complex cyclic Leibniz superalgebras. Revista Matemática Complutense, August 2020 |
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