Geometry of word equations in simple algebraic groups over special fields
Algebraic Geometry
2019-01-30 v1 Group Theory
Rings and Algebras
Abstract
This paper contains a survey of recent developments in investigation of word equations in simple matrix groups and polynomial equations in simple (associative and Lie) matrix algebras along with some new results on the image of word maps on algebraic groups defined over special fields: complex, real, p-adic (or close to such), or finite.
Cite
@article{arxiv.1808.02303,
title = {Geometry of word equations in simple algebraic groups over special fields},
author = {Nikolai Gordeev and Boris Kunyavskii and Eugene Plotkin},
journal= {arXiv preprint arXiv:1808.02303},
year = {2019}
}
Comments
44 pages