Geodesic
Leibniz algebras with absolute maximal Lie subalgebras
Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 52-65

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A Lie subalgebra of a given Leibniz algebra is said to be an absolute maximal Lie subalgebra if it has codimension one. In this paper, we study some properties of non-Lie Leibniz algebras containing absolute maximal Lie subalgebras. When the dimension and codimension of their $\mathsf{Lie}$-center are greater than two, we refer to these Leibniz algebras as $s$-Leibniz algebras (strong Leibniz algebras). We provide a classification of nilpotent Leibniz $s$-algebras of dimension up to five.
Keywords: Leibniz algebras, $s$-Leibniz algebras, $\mathsf{Lie}$-center. 
@article{ADM_2020_29_1_a4,
     author = {G. R. Biyogmam and C. Tcheka},
     title = {Leibniz algebras with absolute maximal {Lie} subalgebras},
     journal = {Algebra and discrete mathematics},
     pages = {52--65},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a4/}
}
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G. R. Biyogmam; C. Tcheka. Leibniz algebras with absolute maximal Lie subalgebras. Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 52-65. http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a4/