Central extensions of filiform associative algebras

Abstract

In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform associative algebras.

arXiv commentarXiv admin note: text overlap with arXiv:1803.07698

References in corpus (4)

• Six-dimensional nilpotent Lie algebras
• Classification of five-dimensional nilpotent Jordan algebras
• Nilpotent evolution algebras over arbitrary fields
• The classification of $n$-dimensional anticommutative algebras with $(n-3)$-dimensional annihilator

Cited by in corpus (8)

• Degenerations of nilpotent algebras
• The algebraic and geometric classification of nilpotent bicommutative algebras
• The algebraic classification of nilpotent Tortkara algebras
• Central extensions of filiform Zinbiel algebras
• One-generated nilpotent Novikov algebras
• The algebraic classification of nilpotent $\mathfrak{CD}$-algebras
• Central extensions of 3-dimensional Zinbiel algebras
• The algebraic classification of nilpotent commutative $\mathfrak{CD}$-algebras