The Weil algebra and the secondary characteristic homomorphism of regular Lie algebroids (Q2782569)
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scientific article; zbMATH DE number 1724488
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Weil algebra and the secondary characteristic homomorphism of regular Lie algebroids |
scientific article; zbMATH DE number 1724488 |
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29 June 2003
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Lie algebroid
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connection
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Chern-Weil homomorphism
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secondary characteristic classes
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The Weil algebra and the secondary characteristic homomorphism of regular Lie algebroids (English)
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The main part of the paper is dedicated to the construction of the secondary characteristic homomorphism in the category of regular Lie algebroids. This construction generalizes the classical construction of Kamber-Tondeur for foliated principal bundles. In the first part the author discusses the Weil algebra of the Lie algebra bundle adjoint to a regular Lie algebroid. Of particular importance is its subalgebra of invariant cross-sections with respect to the adjoint representation. The second part of the paper contains a construction of characteristic invariants measuring the incompatibility of a partially flat connection and a Lie subalgebroid. Some basic properties of these invariants are also proved.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00030].
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