Cohomology of the vector fields Lie algebras on RP^1 acting on bilinear differential operators

Simple item page
dc.creatorBouarroudj, Sofiane
dc.date2004-09-14
dc.date.accessioned2026-07-07T06:24:48Z
dc.date.available2026-07-07T06:24:48Z
dc.descriptionThe main topic of this paper is two folds. First, we compute the first relative cohomology group of the Lie algebra of smooth vector fields on the projective line, Vect(RP^1), with coefficients in the space of bilinear differential operators that act on tensor densities, D_{λ, ν;μ}, vanishing on the Lie algebra sl(2,R). Second, we compute the first cohomology group of the Lie algebra sl(2,R) with coefficients in D_{λ, ν;μ}.
dc.descriptionLatex2e, no figures, 16 pages
dc.identifierhttps://arxiv.org/abs/math/0409227
dc.identifierhttp://arxiv.org/abs/math/0409227
dc.identifierInternational Journal of Geometric Methods in Modern Physics, Vol. 2, No. 1 (2005) 23-40
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96668
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleCohomology of the vector fields Lie algebras on RP^1 acting on bilinear differential operators
dc.typetext

Files

Collections

arXiv