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Glasgow Mathematical Journal Glasgow Mathematical Journal

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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  and
IAN GROJNOWSKI
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.

Keywords

14G22 16S30 32C38
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue A: New developments in Noncommutative Algebra and its applications. A conference in honour of Kenny Brown's and Toby Stafford's 60th birthdays. , October 2013 , pp. 7 - 26
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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