Study of a 𝐙-form of the coordinate ring of a reductive group
Journal of the American Mathematical Society, Tome 22 (2009) no. 3, pp. 739-769
We show how the theory of canonical bases in modified universal enveloping algebras can be used to develop the theory of Chevalley groups over any commutative ring with $1$.
@article{10_1090_S0894_0347_08_00603_6,
author = {Lusztig, G.},
title = {Study of a {\ensuremath{\mathbf{Z}}-form} of the coordinate ring of a reductive group},
journal = {Journal of the American Mathematical Society},
pages = {739--769},
year = {2009},
volume = {22},
number = {3},
doi = {10.1090/S0894-0347-08-00603-6},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-08-00603-6/}
}
TY - JOUR AU - Lusztig, G. TI - Study of a 𝐙-form of the coordinate ring of a reductive group JO - Journal of the American Mathematical Society PY - 2009 SP - 739 EP - 769 VL - 22 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-08-00603-6/ DO - 10.1090/S0894-0347-08-00603-6 ID - 10_1090_S0894_0347_08_00603_6 ER -
%0 Journal Article %A Lusztig, G. %T Study of a 𝐙-form of the coordinate ring of a reductive group %J Journal of the American Mathematical Society %D 2009 %P 739-769 %V 22 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-08-00603-6/ %R 10.1090/S0894-0347-08-00603-6 %F 10_1090_S0894_0347_08_00603_6
Lusztig, G. Study of a 𝐙-form of the coordinate ring of a reductive group. Journal of the American Mathematical Society, Tome 22 (2009) no. 3, pp. 739-769. doi: 10.1090/S0894-0347-08-00603-6
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