On the derivations of filiform Leibniz algebras

DOI10.1007/s11006-005-0068-1zbMath1130.17001OpenAlexW2046235918WikidataQ123351741 ScholiaQ123351741MaRDI QIDQ2388180

Bakhrom A. Omirov

Publication date: 8 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0068-1

zbMATH Keywords

Lie algebraderivationfiliform algebracharacteristically nilpotent algebragraded Leibniz algebra

Mathematics Subject Classification ID

Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items

Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras, 3-filiform Leibniz algebras of maximum length, A characterization of nilpotent Leibniz algebras, Zinbiel algebras are nilpotent, Automorphisms and derivations of Leibniz algebras, On derivations of semisimple Leibniz algebras, Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras, \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations, Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ², The classification of non-characteristically nilpotent filiform Leibniz algebras, 3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras, Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³, Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems, Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Universal enveloping algebras of Leibniz algebras and (co)homology
• Derivations of Nilpotent Lie Algebras
• A Note on Automorphisms and Derivations of Lie Algebras
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