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Classification of solvable Leibniz algebras with abelian nilradical and (k−1)-dimensional extension

R. K. GaybullaevNational University of Uzbekistan, Tashkent, Uzbekistan;Abror KhudoyberdiyevInstitute of Mathematics, Academy of Sciences of Uzbekistan, Uzbekistan;K. PohlSt. Olaf College, Northfield, Minnesota, USA
Communications in Algebrajournal2020en
ABI

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This work is devoted to the classification of solvable Leibniz algebras with an abelian nilradical. We consider (k−1)-dimensional extension of k-dimensional abelian algebras and classify all (2k−1)-dimensional solvable Leibniz algebras with an abelian nilradical of dimension k.

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