Central extensions of 3-dimensional Zinbiel algebras
Rings and Algebras
2021-11-02 v1
Abstract
We describe all central extensions of all -dimensional non-zero complex Zinbiel algebras. As a corollary, we have a full classification of -dimensional non-trivial complex Zinbiel algebras and a full classification of -dimensional non-trivial complex Zinbiel algebras with -dimensional annihilator, which gives the principal step in the algebraic classification of -dimensional Zinbiel algebras.
Cite
@article{arxiv.2104.03429,
title = {Central extensions of 3-dimensional Zinbiel algebras},
author = {María Alejandra Alvarez and Thiago Castilho de Mello and Ivan Kaygorodov},
journal= {arXiv preprint arXiv:2104.03429},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2009.00988