The algebraic and geometric classification of nilpotent noncommutative Jordan algebras
Rings and Algebras
2020-07-03 v1
Abstract
We give algebraic and geometric classifications of complex -dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The corresponding geometric variety is determined by the Zariski closure of rigid algebras and one-parametric families of algebras.
Keywords
Cite
@article{arxiv.1912.02691,
title = {The algebraic and geometric classification of nilpotent noncommutative Jordan algebras},
author = {Doston Jumaniyozov and Ivan Kaygorodov and Abror Khudoyberdiyev},
journal= {arXiv preprint arXiv:1912.02691},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1909.00358 and substantial text overlap with arXiv:1812.01442