The algebraic and geometric classification of nilpotent Novikov algebras

Abstract

This paper is devoted to give the complete algebraic and geometric classification of $4$-dimensional nilpotent Novikov algebras over $\mathbb{C}.$

arXiv admin note: text overlap with arXiv:1809.00183, arXiv:1803.07698; text overlap with arXiv:1511.07683 by other authors

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• Six-dimensional nilpotent Lie algebras
• The variety of $2$-dimensional algebras over an algebraically closed field
• Classification of five-dimensional nilpotent Jordan algebras
• Degenerations of Zinbiel and nilpotent Leibniz algebras
• The algebraic and geometric classification of nilpotent binary Lie 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 binary Lie and nilpotent Malcev algebras
• Degenerations of Leibniz and anticommutative algebras
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• Nilpotent evolution algebras over arbitrary fields
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Cited by in corpus (26)

• The algebraic and geometric classification of nilpotent binary Lie algebras
• The algebraic and geometric classification of nilpotent anticommutative algebras
• Degenerations of nilpotent algebras
• The algebraic and geometric classification of nilpotent bicommutative algebras
• Non-associative central extensions of null-filiform associative algebras
• The variety of dual mock-Lie algebras
• The algebraic classification of nilpotent algebras
• The algebraic classification of nilpotent Tortkara algebras
• The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
• Non-associative algebraic structures: classification and structure
• Degenerations of Jordan Algebras and ''Marginal'' Algebras
• The geometric classification of nilpotent Tortkara algebras
• Central extensions of filiform Zinbiel algebras
• Degenerations of nilpotent associative commutative algebras
• One-generated nilpotent Novikov algebras
• Central extensions of 3-dimensional Zinbiel algebras
• The algebraic classification of nilpotent $\mathfrak{CD}$-algebras
• One-generated nilpotent terminal algebras
• The algebraic and geometric classification of nilpotent left-symmetric algebras
• The algebraic and geometric classification of nilpotent right alternative algebras
• The geometric classification of nilpotent $\mathfrak{CD}$-algebras
• The algebraic classification of nilpotent commutative $\mathfrak{CD}$-algebras
• The algebraic classification of nilpotent Novikov algebras
• One-generated nilpotent assosymmetric algebras
• The geometric classification of nilpotent commutative $\mathfrak{CD}$-algebras
• The algebraic and geometric classification of $\delta$-Novikov algebras