Degenerations of binary Lie and nilpotent Malcev algebras

Abstract

We describe degenerations of four-dimensional binary Lie algebras, and five- and six-dimensional nilpotent Malcev algebras over \mathbb{C}. In particular, we describe all irreducible components of these varieties.

References in corpus (5)

• The variety of $2$-dimensional algebras over an algebraically closed field
• Degenerations of Zinbiel and nilpotent Leibniz algebras
• The geometric classification of Leibniz algebras
• A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations
• The classification of algebras of level two

Cited by in corpus (22)

• The variety of $2$-dimensional algebras over an algebraically closed field
• Degenerations of Zinbiel and nilpotent Leibniz algebras
• The algebraic and geometric classification of nilpotent binary Lie algebras
• The algebraic and geometric classification of nilpotent Novikov algebras
• The algebraic and geometric classification of nilpotent anticommutative algebras
• Degenerations of nilpotent algebras
• The algebraic and geometric classification of nilpotent bicommutative algebras
• Degenerations of Leibniz and anticommutative algebras
• The geometric classification of Leibniz algebras
• Complete classification of algebras of level two
• The classification of $2$-dimensional rigid algebras
• The variety of dual mock-Lie algebras
• Degenerations of Jordan Superalgebras
• The algebraic classification of nilpotent algebras
• The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
• The algebraic classification of nilpotent Tortkara algebras
• Non-associative algebraic structures: classification and structure
• Degenerations of Jordan Algebras and ''Marginal'' Algebras
• The geometric classification of nilpotent Tortkara algebras
• Degenerations of Filippov algebras
• Degenerations of nilpotent associative commutative algebras
• The geometric classification of nilpotent $\mathfrak{CD}$-algebras