The classification of 5-dimensional \(p\)-nilpotent restricted Lie algebras over perfect fields. I.

DOI10.1016/j.jalgebra.2016.06.011zbMath1403.17022OpenAlexW2461207364WikidataQ115350761 ScholiaQ115350761MaRDI QIDQ738889

Iren Darijani, Hamid Usefi

Publication date: 16 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.06.011

zbMATH Keywords

cohomologyrestricted Lie algebras\(p\)-nilpotent5-dimensionalSkjelbred-Sund

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (30)

Central extensions of 2-filiform Leibniz algebras ⋮ The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ The algebraic classification of nilpotent algebras ⋮ One-generated nilpotent Novikov algebras ⋮ One-generated nilpotent assosymmetric algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Five-dimensional \(p\)-nilpotent restricted Lie algebras over algebraically closed fields of characteristic \(p > 3\) ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ One-generated nilpotent terminal algebras ⋮ Central extensions of 4-dimensional binary Lie algebras ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ The variety of dual mock-Lie algebras ⋮ Degenerations of nilpotent algebras ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ The algebraic and geometric classification of nilpotent terminal algebras ⋮ The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ The algebraic classification of nilpotent commutative algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ Central extensions of filiform associative algebras

Uses Software

• Sophus

Cites Work

• The classification of \(p\)-nilpotent restricted Lie algebras of dimension at most 4
• Six-dimensional nilpotent Lie algebras
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• Classification of real and complex nilpotent lie algebras of dimension 7
• 7-Dimensional Nilpotent Lie Algebras
• A Computer-Based Approach to the Classification of Nilpotent Lie Algebras
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