Zassenhaus varieties of general linear Lie algebras

Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U be the universal enveloping algebra of g. We prove in this paper for g=gl_n and g=sl_n that the centre Z of U is a unique factorisation domain and that its field of fractions is rational. For g=sl_n our argu...

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Bibliographic Details
Main Authors: Premet, A.A (Author), Tange, R.H (Author)
Format: Article
Language:English
Published: 2005.
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