One-generated nilpotent bicommutative algebras

Abstract

We give a classification of $5$- and $6$-dimensional complex one-generated nilpotent bicommutative algebras.

arXiv commentarXiv admin note: text overlap with arXiv:2004.03598, arXiv:1903.08997

References in corpus (15)

• Six-dimensional nilpotent Lie algebras
• The variety of $2$-dimensional algebras over an algebraically closed field
• Classification of five-dimensional nilpotent Jordan 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
• The algebraic and geometric classification of nilpotent terminal algebras
• Non-associative central extensions of null-filiform associative algebras
• Classification of bilinear maps with radical of codimension 2
• The classification of $n$-dimensional anticommutative algebras with $(n-3)$-dimensional annihilator
• The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
• Noetherianity and Specht problem for varieties of bicommutative algebras
• Central extensions of filiform Zinbiel algebras
• The algebraic classification of nilpotent $\mathfrak{CD}$-algebras

Cited by in corpus (2)

• Non-associative algebraic structures: classification and structure
• The algebraic and geometric classification of derived Jordan and bicommutative algebras