Global deformations of the Witt algebra of Krichever-Novikov Type


Fialowski, Alice ; Schlichenmaier, Martin


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URL: https://madoc.bib.uni-mannheim.de/42379
URN: urn:nbn:de:bsz:180-madoc-423791
Document Type: Working paper
Year of publication: 2002
The title of a journal, publication series: Mannheimer Manuskripte
Volume: 266
Place of publication: Mannheim
Publishing house: Institut für Mathematik
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
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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Fialowski, Alice ; Schlichenmaier, Martin (2002) Global deformations of the Witt algebra of Krichever-Novikov Type. Open Access Mannheimer Manuskripte Mannheim 266 [Working paper]
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