# The algebraic classification of nilpotent algebras

#### Preprint

We give the complete algebraic classification of all complex $4$-dimensional nilpotent algebras. The final list has $234$ (parametric families of) isomorphism classes of algebras, $66$ of which are new in the literature.

Ivan Kaygorodov

Mykola Khrypchenko

### Publication

Year of publication: 2020