Generalized cohomology for irreducible tensor fields of mixed Young symmetry type

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dc.creatorDubois-Violette, Michel
dc.creatorHenneaux, Marc
dc.date1999-07-22
dc.date.accessioned2026-07-07T05:29:59Z
dc.date.available2026-07-07T05:29:59Z
dc.descriptionWe construct N-complexes of non completely antisymmetric irreducible tensor fields on $\mathbb R^D$ generalizing thereby the usual complex (N=2) of differential forms. These complexes arise naturally in the description of higher spin gauge fields. Although, for $N\geq 3$, the generalized cohomology of these N-complexes is non trivial, we prove a generalization of the Poincaré lemma. Several results which appeared in various contexts are shown to be particular cases of this generalized Poincaré lemma.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/9907135
dc.identifierhttp://arxiv.org/abs/math/9907135
dc.identifierLett.Math.Phys. 49 (1999) 245-252
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78854
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleGeneralized cohomology for irreducible tensor fields of mixed Young symmetry type
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