Projectively equivariant symbol calculus for bidifferential operators

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dc.creatorBoniver, Fabien
dc.date2000-06-07
dc.date.accessioned2026-07-07T04:35:46Z
dc.date.available2026-07-07T04:35:46Z
dc.descriptionWe prove the existence and uniqueness of a *projectively equivariant symbol map*, which is an isomorphism between the space of bidifferential operators acting on tensor densities over $R^n$ and that of their symbols, when both are considered as modules over an imbedding of $sl(n+1,\R)$ into polynomial vector fields. The coefficients of the bidifferential operators are densities of an arbitrary weight. We obtain the result for all values of this weight, except for a set of critical ones, which does not contain 0. In the case of second order operators, we give explicit formulas and examine in detail the critical values.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0006047
dc.identifierhttp://arxiv.org/abs/math/0006047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59363
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.subject17B66; 53A20
dc.titleProjectively equivariant symbol calculus for bidifferential operators
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