Supertransvectants and symplectic geometry

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dc.creatorGargoubi, Hichem
dc.creatorOvsienko, Valentin
dc.date2007-05-10
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:20:03Z
dc.date.available2026-07-07T09:20:03Z
dc.descriptionWe consider the $osp(1|2)$-invariant bilinear operations on weighted densities on the supercircle $S^{1|1}$ called the supertransvectants. These operations are analogues of the famous Gordan transvectants (or Rankin-Cohen brackets). We prove that these operations coincide with the iterated Poisson and ghost Poisson brackets on ${\mathbb R}^{2|1}$ and apply this result to construct star-products involving the supertransvectants.
dc.identifierhttps://arxiv.org/abs/0705.1411
dc.identifierhttp://arxiv.org/abs/0705.1411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154608
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.titleSupertransvectants and symplectic geometry
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