dc.contributor.author | Lewis, Benjamin | |
dc.date.accessioned | 2015-12-02T17:28:28Z | |
dc.date.available | 2015-12-02T17:28:28Z | |
dc.date.issued | 2015-10-02 | |
dc.date.submitted | 2015-12-02T16:30:00.662Z | |
dc.identifier.citation | Lewis, B. 2015. Primitive factor rings of p-adic completions of enveloping algebras as arithmetic differential operators. Queen Mary University of London | en_US |
dc.identifier.uri | http://qmro.qmul.ac.uk/xmlui/handle/123456789/9549 | |
dc.description.abstract | We 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.description.sponsorship | EPSRC | en_US |
dc.language.iso | en | en_US |
dc.publisher | Queen Mary University of London | en_US |
dc.subject | Algebra | en_US |
dc.title | Primitive factor rings of p-adic completions of enveloping algebras as arithmetic differential operators | en_US |
dc.type | Thesis | en_US |
dc.rights.holder | The 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 | |