Equivariant symbol calculus for differential operators acting on forms

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dc.creatorBoniver, F.
dc.creatorHansoul, S.
dc.creatorMathonet, P.
dc.creatorPoncin, N.
dc.date2002-06-20
dc.date.accessioned2026-07-07T06:21:45Z
dc.date.available2026-07-07T06:21:45Z
dc.descriptionWe prove the existence and uniqueness of a projectively equivariant symbol map (in the sense of Lecomte and Ovsienko) for the spaces $D_p$ of differential operators transforming p-forms into functions. These results hold over a smooth manifold endowed with a flat projective structure. As an application, we classify the Vect(M)-equivariant maps from $D_p$ to $D_q$ over any manifold M, recovering and improving earlier results by N. Poncin. This provides the complete answer to a question raised by P. Lecomte about the extension of a certain intrinsic homotopy operator.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0206213
dc.identifierhttp://arxiv.org/abs/math/0206213
dc.identifierLett. Math. Phys., 62, 219-232, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95698
dc.subjectRepresentation Theory
dc.subjectDifferential Geometry
dc.subject17B66, 16S32
dc.titleEquivariant symbol calculus for differential operators acting on forms
dc.typetext

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