On (non)commutative products of functions on the sphere

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dc.creatorRios, Pedro de M.
dc.date2008-11-05
dc.date.accessioned2026-07-07T10:15:40Z
dc.date.available2026-07-07T10:15:40Z
dc.descriptionWe investigate the commutativity of global products of functions on the two-sphere from the point of view of a construction started in [RT] and named the skewed product. We complete the construction of the skewed product of functions on the sphere and show that it is Z_2 graded commutative and nontrivial only as a product of functions with correct parity under the antipodal mapping. These properties are valid for a more general class of integral products of functions on the sphere, with integral kernel of a special WKB-type that is natural from semiclassical considerations. We argue that our construction provides a simple geometrical explanation for an old theorem by Rieffel [Rf] on equivariant strict deformation quantization of the two-sphere.
dc.identifierhttps://arxiv.org/abs/0811.0680
dc.identifierhttp://arxiv.org/abs/0811.0680
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173245
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleOn (non)commutative products of functions on the sphere
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