A covariant Poisson deformation quantization with separation of variables up to the third order

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dc.creatorKarabegov, Alexander
dc.date2002-06-25
dc.date2002-06-27
dc.date.accessioned2026-07-07T04:49:22Z
dc.date.available2026-07-07T04:49:22Z
dc.descriptionWe give a simple formula for the operator C_3 of the standard deformation quantization with separation of variables on a Kähler manifold M. Unlike C_1 and C_2, this operator can not be expressed in terms of the Kähler-Poisson tensor on M. We modify C_3 to obtain a covariant deformation quantization with separation of variables up to the third order which is expressed in terms of the Poisson tensor on M and thus can be defined on an arbitrary complex manifold endowed with a Poisson bivector field of type (1,1).
dc.description9 pages, minor typos corrected
dc.identifierhttps://arxiv.org/abs/math/0206271
dc.identifierhttp://arxiv.org/abs/math/0206271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64396
dc.subjectQuantum Algebra
dc.subject53D55; 53C55
dc.titleA covariant Poisson deformation quantization with separation of variables up to the third order
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