Automorphisms of Chevalley groups of types $A_l$, $D_l$, or $E_l$ over local rings with~1/2
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 35-59
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In this paper, we prove that every automorphism of an (elementary) Chevalley group of type $A_l$, $D_l$, or $E_l$, $l\geq2$, over a commutative local ring with 1/2 is standard, i.e., is the composition of inner, ring, graph, and central automorphisms.
@article{FPM_2009_15_2_a2,
author = {E. I. Bunina},
title = {Automorphisms of {Chevalley} groups of types $A_l$, $D_l$, or $E_l$ over local rings with~1/2},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {35--59},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a2/}
}
TY - JOUR AU - E. I. Bunina TI - Automorphisms of Chevalley groups of types $A_l$, $D_l$, or $E_l$ over local rings with~1/2 JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2009 SP - 35 EP - 59 VL - 15 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a2/ LA - ru ID - FPM_2009_15_2_a2 ER -
E. I. Bunina. Automorphisms of Chevalley groups of types $A_l$, $D_l$, or $E_l$ over local rings with~1/2. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 2, pp. 35-59. http://geodesic.mathdoc.fr/item/FPM_2009_15_2_a2/