The algebraic and geometric classification of nilpotent right alternative algebras
Rings and Algebras
2021-11-02 v1
Abstract
We present algebraic and geometric classifications of the -dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety has dimension and it is determined by the Zariski closure of rigid algebras and one one-parametric family of algebras.
Keywords
Cite
@article{arxiv.2107.05440,
title = {The algebraic and geometric classification of nilpotent right alternative algebras},
author = {Nurlan Ismailov and Ivan Kaygorodov and Manat Mustafa},
journal= {arXiv preprint arXiv:2107.05440},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1903.08997, arXiv:2101.07375, arXiv:1812.01442