| 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 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 $(Vg\sp*)\sb I$ and the Chern-Weil 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:
|
2009-07-13T21:24:52Z |
| Last updated:
|
2012-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/701467 |
| . |
