Word equations in simple groups and polynomial equations in simple algebras
Group Theory
2013-04-19 v1 Algebraic Geometry
Rings and Algebras
Abstract
We give a brief survey of recent results on word maps on simple groups and polynomial maps on simple associative and Lie algebras. Our focus is on parallelism between these theories, allowing one to state many new open problems and giving new ways for solving older ones.
Keywords
Cite
@article{arxiv.1304.5052,
title = {Word equations in simple groups and polynomial equations in simple algebras},
author = {Alexey Kanel-Belov and Boris Kunyavskii and Eugene Plotkin},
journal= {arXiv preprint arXiv:1304.5052},
year = {2013}
}