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Solvable Leibniz algebras with NF n ⊕ [...] F m 1 F m 1 nilradical

L.M. Camacho;  B.A. Omirov;  K.K. Masutova;  I.M. Rikhsiboev — 2017

Open Mathematics

All finite-dimensional solvable Leibniz algebras L, having N = NFn⊕ [...] Fm1 F m 1 as the nilradical and the dimension of L equal to n+m+3 (the maximal dimension) are described. NFn and [...] Fm1 F m 1 are the null-filiform and naturally graded filiform Leibniz algebras of dimensions n and m, respectively. Moreover, we show that these algebras are rigid.

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