Parabolic subgroups of Chevalley groups over a commutative ring
Zapiski Nauchnykh Seminarov POMI, Integral lattices and finite linear groups, Tome 116 (1982), pp. 20-43
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This is a survey of results describing the parabolic subgroups of Chevalley groups over rings of various types. For Chevalley groups of classical types over an arbitrary commutative ring, a description of parabolic subgroups is obtained which may be considered definitive. Some errors in the results of V. M. Levchuk in Mat. Zametki, Volume 31, No. 4 (1982) are pointed out.
@article{ZNSL_1982_116_a2,
author = {N. A. Vavilov},
title = {Parabolic subgroups of {Chevalley} groups over a commutative ring},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {20--43},
year = {1982},
volume = {116},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_116_a2/}
}
N. A. Vavilov. Parabolic subgroups of Chevalley groups over a commutative ring. Zapiski Nauchnykh Seminarov POMI, Integral lattices and finite linear groups, Tome 116 (1982), pp. 20-43. http://geodesic.mathdoc.fr/item/ZNSL_1982_116_a2/