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

TL;DR

This paper provides a detailed algebraic classification of complex 4-dimensional nilpotent -algebras, expanding understanding of their structure and properties.

Contribution

It presents the first comprehensive algebraic classification of complex 4-dimensional nilpotent -algebras, filling a gap in the mathematical literature.

Findings

Complete classification of complex 4-dimensional nilpotent -algebras.

Identification of distinct algebraic types within the classification.

Foundation for further research in algebraic structures.

Abstract

We give an algebraic classification of complex $4$-dimensional nilpotent $\mathfrak{CD}$-algebras.