The algebraic classification of nilpotent Tortkara algebras

Abstract

We classify all $6$-dimensional nilpotent Tortkara algebras over $\mathbb{C}.$

arXiv commentarXiv admin note: text overlap with arXiv:1902.01706, arXiv:1809.00183, arXiv:1903.08997, arXiv:1812.01442

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Cited by in corpus (11)

• 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
• Non-associative algebraic structures: classification and structure
• Central extensions of 3-dimensional Zinbiel algebras
• One-generated nilpotent terminal algebras
• The algebraic classification of nilpotent $\mathfrak{CD}$-algebras
• The algebraic and geometric classification of nilpotent right alternative algebras
• The algebraic classification of nilpotent commutative $\mathfrak{CD}$-algebras
• One-generated nilpotent assosymmetric algebras