Skew left braces of nilpotent type
Rings and Algebras
2019-06-27 v2 Group Theory
Quantum Algebra
Abstract
We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces. Several results related to these concepts are proved and applications to infinite left braces are given. Indecomposable solutions of the Yang-Baxter equation are explored using the structure of skew left braces.
Keywords
Cite
@article{arxiv.1806.01127,
title = {Skew left braces of nilpotent type},
author = {Ferran Cedo and Agata Smoktunowicz and Leandro Vendramin},
journal= {arXiv preprint arXiv:1806.01127},
year = {2019}
}
Comments
27 pages. Accepted for publication in Proc. London Math. Soc. (3)