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KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS

Published online by Cambridge University Press:  01 October 2013

KONSTANTIN ARDAKOV
Affiliation:
School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom
IAN GROJNOWSKI
Affiliation:
Department of Pure Mathematics and Mathematical Statistics (DPMMS), University of Cambridge, Cambridge CB3 0WB, United Kingdom
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Abstract

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.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

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KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS
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