Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized cohomology for irreducible tensor fields of mixed Young
  symmetry type   We 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
Poincar\'e lemma. Several results which appeared in various contexts are shown
to be particular cases of this generalized Poincar\'e lemma.

19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci