Tensor Fields of Mixed Young Symmetry Type and N-complexes

@inproceedings{Henneaux2008TensorFO,
  title={Tensor Fields of Mixed Young Symmetry Type and N-complexes},
  author={Marc Henneaux},
  year={2008}
}
We construct N -complexes of non completely antisymmetric irreducible tensor fields on R which generalize the usual complex (N = 2) of differential forms. Although, for N ≥ 3, the generalized cohomology of these N -complexes is non trivial, we prove a generalization of the Poincaré lemma. To that end we use a technique reminiscent of the Green ansatz for parastatistics. Several results which appeared in various contexts are shown to be particular cases of this generalized Poincaré lemma. We… CONTINUE READING
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