The classification of algebras of level two

Abstract

This paper is devoted to the description of complex finite-dimensional algebras of level two. We obtain the classification of algebras of level two in the varieties of Jordan, Lie and associative algebras.

Cited by in corpus (10)

• The variety of $2$-dimensional algebras over an algebraically closed field
• The algebraic and geometric classification of nilpotent anticommutative algebras
• Degenerations of nilpotent algebras
• Degenerations of binary Lie and nilpotent Malcev algebras
• Complete classification of algebras of level two
• Non-associative algebraic structures: classification and structure
• Degenerations of nilpotent associative commutative algebras
• The geometric classification of nilpotent $\mathfrak{CD}$-algebras
• Classification of algebras of level two in the variety of nilpotent algebras and Leibniz algebras
• The geometric classification of nilpotent commutative $\mathfrak{CD}$-algebras