# The algebraic and geometric classification of nilpotent Novikov algebras

## TL;DR

This paper provides a comprehensive algebraic and geometric classification of all 4-dimensional nilpotent Novikov algebras over the complex numbers, advancing the understanding of their structure.

## Contribution

It offers the first complete classification of 4-dimensional nilpotent Novikov algebras, combining algebraic and geometric perspectives.

## Key findings

- Complete classification of 4-dimensional nilpotent Novikov algebras
- Identification of algebraic structures and geometric orbits
- Foundation for further studies on Novikov algebras

## Abstract

This paper is devoted to give the complete algebraic and geometric classification of $4$-dimensional nilpotent Novikov algebras over $\mathbb C.$