# The algebraic classification of nilpotent Tortkara algebras

## TL;DR

This paper provides a complete algebraic classification of all 6-dimensional nilpotent Tortkara algebras over the complex numbers, expanding understanding of their structure.

## Contribution

It offers the first comprehensive classification of 6-dimensional nilpotent Tortkara algebras, filling a gap in algebraic theory.

## Key findings

- Complete classification of 6-dimensional nilpotent Tortkara algebras over eld
- Identification of distinct algebraic structures within this class
- Foundation for further research in algebraic structures

## Abstract

We classify all $6$-dimensional nilpotent Tortkara algebras over $\mathbb C.$