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dc.contributor.authorLewis, Benjamin
dc.identifier.citationLewis, B. 2015. Primitive factor rings of p-adic completions of enveloping algebras as arithmetic differential operators. Queen Mary University of Londonen_US
dc.description.abstractWe study the -adic completion dD[1] of Berthelot's differential operators of level one on the projective line over a complete discrete valuation ring of mixed characteristic (0; p). The global sections are shown to be isomorphic to a Morita context whose objects are certain fractional ideals of primitive factor rings of the -adic completion of the universal enveloping algebra of sl2(R). We produce a bijection between the coadmissibly primitive ideals of the Arens Michael envelope of a nilpotent finite dimensional Lie algebra and the classical universal enveloping algebra. We make limited progress towards characterizing the primitive ideals of certain a noid enveloping algebras of nilpotent Lie algebras under restrictive conditions on the Lie algebra. We produce an isomorphism between the primitive factor rings of these affinoid enveloping algebras and matrix rings over certain deformations of Berthelot's arithmetic differential operators over the a fine line.
dc.publisherQueen Mary University of Londonen_US
dc.titlePrimitive factor rings of p-adic completions of enveloping algebras as arithmetic differential operatorsen_US
dc.rights.holderThe copyright of this thesis rests with the author and no quotation from it or information derived from it may be published without the prior written consent of the author

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