KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS
Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 7-26
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Using Beilinson–Bernstein localisation, we give another proof of Levasseur's theorem on the Krull dimension of the enveloping algebra of a complex semisimple Lie algebra. The proof also extends to the case of affinoid enveloping algebras.
ARDAKOV, KONSTANTIN; GROJNOWSKI, IAN. KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS. Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 7-26. doi: 10.1017/S0017089513000487
@article{10_1017_S0017089513000487,
author = {ARDAKOV, KONSTANTIN and GROJNOWSKI, IAN},
title = {KRULL {DIMENSION} {OF} {AFFINOID} {ENVELOPING} {ALGEBRAS} {OF} {SEMISIMPLE} {LIE} {ALGEBRAS}},
journal = {Glasgow mathematical journal},
pages = {7--26},
year = {2013},
volume = {55},
number = {A},
doi = {10.1017/S0017089513000487},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000487/}
}
TY - JOUR AU - ARDAKOV, KONSTANTIN AU - GROJNOWSKI, IAN TI - KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS JO - Glasgow mathematical journal PY - 2013 SP - 7 EP - 26 VL - 55 IS - A UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000487/ DO - 10.1017/S0017089513000487 ID - 10_1017_S0017089513000487 ER -
%0 Journal Article %A ARDAKOV, KONSTANTIN %A GROJNOWSKI, IAN %T KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS %J Glasgow mathematical journal %D 2013 %P 7-26 %V 55 %N A %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000487/ %R 10.1017/S0017089513000487 %F 10_1017_S0017089513000487
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