Global Deformations of the Witt Algebra of Krichever-Novikov Type

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dc.creatorFialowski, Alice
dc.creatorSchlichenmaier, Martin
dc.date2002-06-11
dc.date2003-01-02
dc.date.accessioned2026-07-07T04:49:04Z
dc.date.available2026-07-07T04:49:04Z
dc.descriptionBy 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.
dc.description21 pages, only typing errors and references are updated, final version
dc.identifierhttps://arxiv.org/abs/math/0206114
dc.identifierhttp://arxiv.org/abs/math/0206114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64281
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject17B66 17B56, 17B65, 17B68, 14D15, 14H52, 30F30, 81T40
dc.titleGlobal Deformations of the Witt Algebra of Krichever-Novikov Type
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