Geometry of word equations in simple algebraic groups over special fields
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 5, pp. 753-796
Voir la notice de l'article provenant de la source Math-Net.Ru
This paper contains a survey of recent developments in the 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.
Bibliography: 174 titles.
Keywords:
linear algebraic group, word map.
@article{RM_2018_73_5_a0,
author = {N. L. Gordeev and B. \`E. Kunyavskiǐ and E. B. Plotkin},
title = {Geometry of word equations in simple algebraic groups over special fields},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {753--796},
publisher = {mathdoc},
volume = {73},
number = {5},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2018_73_5_a0/}
}
TY - JOUR AU - N. L. Gordeev AU - B. È. Kunyavskiǐ AU - E. B. Plotkin TI - Geometry of word equations in simple algebraic groups over special fields JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2018 SP - 753 EP - 796 VL - 73 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RM_2018_73_5_a0/ LA - en ID - RM_2018_73_5_a0 ER -
%0 Journal Article %A N. L. Gordeev %A B. È. Kunyavskiǐ %A E. B. Plotkin %T Geometry of word equations in simple algebraic groups over special fields %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2018 %P 753-796 %V 73 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2018_73_5_a0/ %G en %F RM_2018_73_5_a0
N. L. Gordeev; B. È. Kunyavskiǐ; E. B. Plotkin. Geometry of word equations in simple algebraic groups over special fields. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 5, pp. 753-796. http://geodesic.mathdoc.fr/item/RM_2018_73_5_a0/