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Title: Pontryagin algebra of a transitive Lie algebroid (English)
Author: Kubarski, Jan
Language: English
Journal: Proceedings of the Winter School "Geometry and Physics"
Issue: 1989
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
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