Geometry of word equations in simple algebraic groups over special fields

Gordeev, Nikolai; Kunyavskiĭ, B. È.; Plotkin, Eugene

doi:10.1070/RM9838

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Journal Article

Geometry of word equations in simple algebraic groups over special fields

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Kunyavskiĭ, B. È.
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1070/RM9838
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arXiv:1808.02303.pdf
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Citation

Gordeev, N., Kunyavskiĭ, B. È., & Plotkin, E. (2018). Geometry of word equations in simple algebraic groups over special fields. Russian Mathematical Surveys, 73(5), 753-796. doi:10.1070/RM9838.

Cite as: https://hdl.handle.net/21.11116/0000-0003-AD2C-A

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 images of word maps on algebraic groups defined over special fields: complex, real, p-adic (or close to such), or finite.