Article

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

Abstract

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.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Nonlinear Waves and Solitons

Identifiers

DOI: 10.1080/00927872.2020.1728290

Citations and references

Cited by 5 16 references

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