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Homology and modular classes of Lie algebroids. (English) Zbl 1141.17018
The standard approach to homology theory of Lie algebroids is to define homology via generating operators of low degree (such as flat connection and divergence) for the Schouten bracket. Here the authors propose an alternative approach, based on divergence defined for the so-called “odd-forms”, and interpret in its terms the modular class of Lie algebroids.
The advantage of this approach is that the so defined homology does not depend on the choice of generating operators.

MSC:
17B56 Cohomology of Lie (super)algebras
17B63 Poisson algebras
18G60 Other (co)homology theories (MSC2010)
53C05 Connections, general theory
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