Article
Quasi-filiform Leibniz algebras of maximum length
Author/s | Camacho Santana, Luisa María
Cañete Molero, Elisa María Gómez Martín, José Ramón Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2011 |
Deposit Date | 2019-11-15 |
Published in |
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Abstract | The n-dimensional p-filiform Leibniz algebras of maximum length
have already been studied with 0 p 2. For Lie algebras whose nilindex is
equal to n − 2 there is only one characteristic sequence, (n − 2, 1, 1), while ... The n-dimensional p-filiform Leibniz algebras of maximum length have already been studied with 0 p 2. For Lie algebras whose nilindex is equal to n − 2 there is only one characteristic sequence, (n − 2, 1, 1), while in Leibniz theory we obtain two possibilities: (n−2, 1, 1) and (n−2, 2). The first case (the 2-filiform case) is already known. The present paper deals with the second case, i.e., quasi-filiform non Lie Leibniz algebras of maximum length. Therefore this work completes the study of maximum length of Leibniz algebras with nilindex n − p with 0 p 2. |
Project ID. | FQM-143 |
Citation | Camacho Santana, L.M., Cañete Molero, E.M., Gómez Martín, J.R. y Omirov, B.A. (2011). Quasi-filiform Leibniz algebras of maximum length. Siberian Mathematical Journal, 52 (5-840) |
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