Artículo
On the description of Leibniz superalgebras of nilindex n+m
Autor/es | Camacho Santana, Luisa María
Gómez Martín, José Ramón Khudoyberdiyev, Abror Kh. Omirov, Bakhrom Abdazovich |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2012 |
Fecha de depósito | 2019-11-14 |
Publicado en |
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Resumen | In this work we investigate the complex Leibniz superalgebras with
characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 +
· · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, ... In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 + · · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, respectively. Such superalgebras with condition n1 ≥ n − 1 were classified in [4]–[5]. Here we prove that in the case n1 ≤ n − 2 the Leibniz superalgebras have nilindex less than n +m. Thus, we get the classification of Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n +m. |
Cita | Camacho Santana, L.M., Gómez Martín, J.R., Khudoyberdiyev, A.K. y Omirov, B.A. (2012). On the description of Leibniz superalgebras of nilindex n+m. Forum Mathematicum, 24 (4), 809-826. |
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