Isomorphism classes of four dimensional nilpotent associative algebras over a field
Group Theory
2017-02-17 v2 Rings and Algebras
Abstract
In this paper we classify the isomorphism classes of four dimensional nilpotent associative algebras over a field F, studying regular subgroups of the affine group AGL_4(F). In particular we provide explicit representatives for such classes when F is a finite field, the real field R or an algebraically closed field.
Keywords
Cite
@article{arxiv.1702.00143,
title = {Isomorphism classes of four dimensional nilpotent associative algebras over a field},
author = {Marco Antonio Pellegrini},
journal= {arXiv preprint arXiv:1702.00143},
year = {2017}
}