Tensor Fields of Mixed Young Symmetry Type and N-complexes

  title={Tensor Fields of Mixed Young Symmetry Type and N-complexes},
  author={Marc Henneaux},
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
Highly Cited
This paper has 26 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 23 references

d = 0 : Generalized homology

  • M. Dubois-Violette
  • K-Theory 14
  • 1998
Highly Influential
8 Excerpts

Homologie cyclique et homologie simpliciale aux racines de l’unité

  • M. Wambst
  • Preprint Strasbourg
  • 2001
1 Excerpt

Generalized cohomology for irreducible tensor fields of mixed Young symmetry type

  • M. Dubois-Violette, M. Henneaux
  • Lett. Math. Phys. 49
  • 1999
2 Excerpts

Generalized homology for the zero mode of the SU(2) WZNW model

  • M. Dubois-Violette, I. T. Todorov
  • Lett. Math. Phys. 48
  • 1999
1 Excerpt

Algèbre homologique des N -complexes et homologies de Hochschild aux racines de l’unité

  • C. Kassel, M. Wambst
  • Publ. RIMS, Kyoto Univ. 34
  • 1998
2 Excerpts

Generalized homologies for d = 0 and graded q-differential algebras

  • M. Dubois-Violette
  • Contemporary Mathematics 219
  • 1998
1 Excerpt

Young tableaux

  • W. Fulton
  • 1997
1 Excerpt

Similar Papers

Loading similar papers…