Title:

Pontryagin algebra of a transitive Lie algebroid (English) 
Author:

Kubarski, Jan 
Language:

English 
Journal:

Proceedings of the Winter School "Geometry and Physics" 
Volume:


Issue:

1989 
Year:


Pages:

[117]126 
. 
Category:

math 
. 
Summary:

[For the entire collection see Zbl 0699.00032.] \par 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 ChernWeil 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 $(Vg\sp*)\sb I$ and the ChernWeil homomorphism: $h\sp p: (Vg\sp*)\sb I\to {\cal H}(M)$. (English) 
MSC:

55R25 
MSC:

55R40 
MSC:

57R20 
MSC:

57R22 
MSC:

57T10 
MSC:

58H05 
idZBL:

Zbl 0711.55010 
idMR:

MR1061794 
. 
Date available:

20090713T21:24:52Z 
Last updated:

20120918 
Stable URL:

http://hdl.handle.net/10338.dmlcz/701467 
. 