Article
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
Author/s | Adashev, J.K.
Camacho Santana, Luisa María Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2017 |
Deposit Date | 2019-10-28 |
Published in |
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Abstract | In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely,
central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover,
non-split central extensions ... In this paper we describe central extensions of some nilpotent Leibniz algebras. Namely, central extensions of the Leibniz algebra with maximal index of nilpotency are classified. Moreover, non-split central extensions of naturally graded filiform non-Lie Leibniz algebras are described up to isomorphism. It is shown that k-dimensional central extensions (k 5) of these algebras are split. |
Project ID. | MTM2013-43687-P |
Citation | Adashev, J.K., Camacho Santana, L.M. y Omirov, B.A. (2017). Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras. Journal of Algebra, 479 (june 2017), 461-486. |
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