On classification of four-dimensional nilpotent Leibniz algebras

DOI10.1080/00927872.2016.1172626zbMath1418.17007arXiv1511.07296OpenAlexW2962862543WikidataQ57429114 ScholiaQ57429114MaRDI QIDQ2986075

Ismail Demir, Kailash C. Misra, Ernest L. Stitzinger

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07296

zbMATH Keywords

classificationsolvabilitynilpotencyLeibniz algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Leibniz algebras (17A32)

Related Items (22)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ The algebraic classification of nilpotent algebras ⋮ The Schur Lie-multiplier of Leibniz algebras ⋮ Characterizing nilpotent Leibniz algebras by a new bound on their second homologies ⋮ Characterizing nilpotent Leibniz algebras by their multiplier ⋮ Classification of some subclasses of 6−dimensional nilpotent Leibniz algebras ⋮ Unnamed Item ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ Degenerations of nilpotent algebras ⋮ On non-abelian extensions of Leibniz algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ The algebraic and geometric classification of nilpotent terminal algebras ⋮ Minimal nonnilpotent Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ Unnamed Item ⋮ Classification of 5-dimensional complex nilpotent Leibniz algebras ⋮ Leibniz algebras as non-associative algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras

Cites Work

• Classification of some solvable Leibniz algebras
• The classification of 4-dimensional Leibniz algebras
• An algorithm for the classification of 3-dimensional complex Leibniz algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Some Theorems on Leibniz Algebras

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