A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetry multi vector fields

dc.creatorDubois-Violette, M.
dc.creatorMichor, P. W.
dc.date1994-01-25
dc.date.accessioned2026-07-07T09:05:59Z
dc.date.available2026-07-07T09:05:59Z
dc.descriptionThere is a canonical mapping from the space of sections of the bundle $\wedge T^\ast M\otimes ST\ M$ to $Ω(T^\ast M ; T(T^\ast M))$. It is shown that this is a homomorphism on $Ω(M;TM) for the Frölicher-Nijenhuis brackets, and also on $Γ(ST\ M)$ for the Schouten bracket of symmetric multi vector fields. But the whole image is not a subalgebra for the Frölicher-Nijenhuis bracket on $Ω(T^\ast M;T(T^\ast M))$.
dc.description14 pages, AMSTEX, LPTHE-ORSAY 94/05 and ESI 70 (1994)
dc.identifierhttps://arxiv.org/abs/alg-geom/9401006
dc.identifierhttp://arxiv.org/abs/alg-geom/9401006
dc.identifierIndagationes Math. N. S., 6 (1995), 51--66
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149861
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleA common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetry multi vector fields
dc.typetext

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