Classification of nilpotent associative algebras of small dimension

Abstract

We classify nilpotent associative algebras of dimensions up to [Formula: see text] over any field. This is done by constructing the nilpotent associative algebras as central extensions of algebras of smaller dimension, analogous to methods known for nilpotent Lie algebras.

Identifiers

DOI

10.1142/s0218196718500078

Citations and references