Some remarks on g-invariant Fedosov star products and quantum momentum mappings

Müller, Michael Frank ; Neumaier, Nikolai Alexander

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URN: urn:nbn:de:bsz:180-madoc-16134
Document Type: Working paper
Year of publication: 2003
The title of a journal, publication series: Mannheimer Manuskripte zu Risikotheorie, Portfolio Management und Versicherungswirtschaft
Volume: 268
Place of publication: Mannheim
Publishing house: Institut für Mathematik
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Subject headings (SWD): Weyl-Algebra , Differentialgeometrie
Abstract: By considering non-trivial global deformations of the Witt(and the Virasoro)algebra given by geometric constructions it is shown that, despite their infinitesimal and formal rigidity, they are globally not rigid. This shows the need of a clear indication of the type of deformations considered. The families appearing are constructed as families of algebras of Krichever-Novikov type. They show up in a natural way in the global operator approach to the quantization of two-dimensional conformal field theory. In addition, a proof of the infinitesimal and formal rigidity of the Witt algebra is presented
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