Conformally invariant differential operators on tensor densities

dc.creatorOvsienko, V.
dc.creatorRedou, P.
dc.date2001-04-25
dc.date.accessioned2026-07-07T04:41:26Z
dc.date.available2026-07-07T04:41:26Z
dc.descriptionLet ${\cal F}_λ$ be the space of tensor densities on ${\bf R}^n$ of degree $λ$ (or, equivalently, of conformal densities of degree $-λn$) considered as a module over the Lie algebra $so(p+1,q+1)$. We classify $so(p+1,q+1)$-invariant bilinear differential operators from ${\cal F}_λ\otimes{\cal F}_μ$ to~${\cal F}_ν$. The classification of linear $so(p+1,q+1)$-invariant differential operators from ${\cal F}_λ$ to ${\cal F}_μ$ already known in the literature is obtained in a different manner.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0104232
dc.identifierhttp://arxiv.org/abs/math/0104232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61360
dc.subjectDifferential Geometry
dc.titleConformally invariant differential operators on tensor densities
dc.typetext

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