On the cohomology of sl(m+1,R) acting on differential operators and sl(m+1,R)-equivariant symbol

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dc.creatorLecomte, P. B. A.
dc.date1998-01-27
dc.date.accessioned2026-07-07T05:23:41Z
dc.date.available2026-07-07T05:23:41Z
dc.descriptionOne computes the cohomology of the projective embedding of sl(m+1,R) acting on the differential operators on densities on R^m of various weights. This cohomology is non vanishing only for some special critical values of the weights. This allows us first to explain some strange feature pointed out by Gargoubi in his classification if the module of differential operators on the line. This also allows us to provide a so called sl(m+1,R) invariant symbol for differential operators acting on densities of non critical weights.
dc.descriptionLateX file, 20 pages
dc.identifierhttps://arxiv.org/abs/math/9801121
dc.identifierhttp://arxiv.org/abs/math/9801121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76538
dc.subjectDifferential Geometry
dc.subject58B99 17B56 47E05
dc.titleOn the cohomology of sl(m+1,R) acting on differential operators and sl(m+1,R)-equivariant symbol
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