Pontryagin algebra of a transitive Lie algebroid

Kubarski, Jan

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1990), p. [117]-126 / Harvested from

Résumé

[For the entire collection see Zbl 0699.00032.] It was previously known that for every principal fibre bundle P there is some corresponding transitive Lie algebroid A(P) - a vector bundle equipped with some structure like the structure of a Lie algebra in the module of sections. The author of this article shows that the Chern-Weil homomorphism of P is a notion of the Lie algebroid of P, i.e. knowing only A(P) of P one can uniquely reproduce the ring of invariant polynomials ${(V g^{*})}_{I}$ and the Chern-Weil homomorphism: $h^{p} : {(V g^{*})}_{I} \to ℋ (M)$ .

MR MR1061794 | Zbl 0711.55010

EUDML-ID : urn:eudml:doc:220802
Mots clés:

@article{701467,
     title = {Pontryagin algebra of a transitive Lie algebroid},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1990},
     pages = {[117]-126},
     mrnumber = {MR1061794},
     zbl = {0711.55010},
     url = {http://dml.mathdoc.fr/item/701467}
}

Kubarski, Jan. Pontryagin algebra of a transitive Lie algebroid, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1990), pp. [117]-126. http://gdmltest.u-ga.fr/item/701467/