The algebraic classification of nilpotent commutative $\mathfrak{CD}$-algebras

Abstract

An algebraic classification of complex $5$-dimensional nilpotent commutative $\mathfrak{CD}$-algebras is given. This classification is based on an algebraic classification of complex $5$-dimensional nilpotent Jordan algebras.

arXiv admin note: text overlap with arXiv:2006.00734, arXiv:2106.00336, arXiv:2004.03598, arXiv:2008.01554

References in corpus (4)

• Central extensions of filiform Zinbiel algebras
• One-generated nilpotent Novikov algebras
• One-generated nilpotent terminal algebras
• The geometric classification of nilpotent $\mathfrak{CD}$-algebras