Article
Leibniz Algebras Associated to Extensions of sl 2
Author/s | Camacho Santana, Luisa María
Gómez Vidal, S. Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2015 |
Deposit Date | 2021-07-01 |
Published in |
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Abstract | In this work, we investigate the structure of Leibniz algebras whose associated Lie
algebra is a direct sum of sl2 and the solvable radical. In particular, we obtain the description of
such algebras when: the ideal ... In this work, we investigate the structure of Leibniz algebras whose associated Lie algebra is a direct sum of sl2 and the solvable radical. In particular, we obtain the description of such algebras when: the ideal generated by the squares of elements of a Leibniz algebra is irreducible over sl2 and when the dimension of the radical is equal to two. |
Citation | Camacho Santana, L.M., Gómez Vidal, S. y Omirov, B.A. (2015). Leibniz Algebras Associated to Extensions of sl 2. Communications in Algebra, 43 (10), 4403-4414. |
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