Classification of nilpotent associative algebras of small dimension
Rings and Algebras
2017-05-23 v2
Abstract
We classify nilpotent associative algebras of dimensions up to 4 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.
Keywords
Cite
@article{arxiv.1009.5339,
title = {Classification of nilpotent associative algebras of small dimension},
author = {Willem A. de Graaf},
journal= {arXiv preprint arXiv:1009.5339},
year = {2017}
}