Artículo
Leibniz Algebras Whose Semisimple Part is Related to sl2
Autor/es | Camacho Santana, Luisa María
Gómez Vidal, S. Omirov, Bakhrom Abdazovich Karimjanov, Iqboljon A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2017 |
Fecha de depósito | 2019-11-18 |
Publicado en |
|
Resumen | In this paper we identify the structure of complex finite-dimensional Leibniz algebras
with associated Lie algebras sl1
2⊕sl2
2⊕· · ·⊕sls
2⊕R, where R is a solvable radical. The classifications
of such Leibniz algebras ... In this paper we identify the structure of complex finite-dimensional Leibniz algebras with associated Lie algebras sl1 2⊕sl2 2⊕· · ·⊕sls 2⊕R, where R is a solvable radical. The classifications of such Leibniz algebras in the cases dimR = 2, 3 and dimI 6= 3 have been obtained. Moreover, we classify Leibniz algebras with L/I ∼= sl1 2⊕sl2 2 and some conditions on ideal I = id < [x, x] | x ∈ L > |
Cita | Camacho Santana, L.M., Gómez Vidal, S., Omirov, B.A. y Karimjanov, I.A. (2017). Leibniz Algebras Whose Semisimple Part is Related to sl2. Bulletin of the Malaysian Mathematical Sciences Society, 40 (2), 599-615. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Some remarks on Leibniz algebr ... | 188.1Kb | [PDF] | Ver/ | |