Anticommutative Engel algebras of the first five levels

DOI10.1080/03081087.2020.1715333OpenAlexW2999555319WikidataQ126333630 ScholiaQ126333630MaRDI QIDQ5023603

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Publication date: 24 January 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08157

zbMATH Keywords

degenerationnilpotent algebraorbit closurelevel of algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Mal'tsev rings and algebras (17D10)

Related Items (5)

The algebraic and geometric classification of Zinbiel algebras ⋮ The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras ⋮ Anticommutative algebras of the third level ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras

Cites Work

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• Reduction of a pair of skew-symmetric matrices to its canonical form under congruence
• The classification of algebras of level one
• Degenerations of 6-dimensional nilpotent lie algebras over C
• Degenerations of binary Lie and nilpotent Malcev algebras
• Complete classification of algebras of level two
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field
• On degenerations of algebras over an arbitrary field
• Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils
• On the Contraction of Groups and Their Representations

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