The algebraic and geometric classification of Zinbiel algebras
Rings and Algebras
2022-06-02 v1
Abstract
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional Zinbiel algebras. In particular, we proved that the variety of complex -dimensional Zinbiel algebras has dimension , it is defined by irreducible components and it has rigid algebras.
Keywords
Cite
@article{arxiv.2206.00315,
title = {The algebraic and geometric classification of Zinbiel algebras},
author = {María Alejandra Alvarez and Renato Fehlberg Júnior and Ivan Kaygorodov},
journal= {arXiv preprint arXiv:2206.00315},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2205.00444. substantial text overlap with arXiv:2106.00336, arXiv:1912.02691, arXiv:1812.01442, arXiv:2004.03598