# The algebraic and geometric classification of nilpotent bicommutative algebras

## TL;DR

This paper provides a comprehensive classification of 4-dimensional nilpotent bicommutative algebras over the complex numbers using algebraic and geometric methods.

## Contribution

It offers the first complete classification of these algebras, combining algebraic and geometric perspectives.

## Key findings

- Complete list of 4-dimensional nilpotent bicommutative algebras over 
- Identification of algebraic and geometric structures of these algebras
- Framework for classifying similar algebraic structures

## Abstract

We classify the $4$-dimensional nilpotent bicommutative algebras over $\mathbb C$ from both algebraic and geometric approaches.