Generalized cohomology for irreducible tensor fields of mixed Young symmetry type

Details Generalized cohomology for irreducible tensor fields of mixed Young symmetry type Generalized cohomology for irreducible tensor fields of mixed Young symmetry type

1999-07-22

arxiv.org/abs/math/9907135v1

Lett.Math.Phys. 49 (1999) 245-252

Mathematics

Quantum Algebra

12 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Generalized cohomology for irreducible tensor fields of mixed Young symmetry type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized cohomology for irreducible tensor fields of mixed Young symmetry type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized cohomology for irreducible tensor fields of mixed Young symmetry type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-286436