Geometry of word equations in simple algebraic groups over special fields

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.

44 pages

Cited by in corpus (1)

• The dimension of solution sets to systems of equations in algebraic groups