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arXiv · dg-ga/9710030

Classical lifting processes and multiplicative vector fields

Kirill Mackenzie·Ping Xu
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Abstract

We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid structure associated with a Poisson groupoid.

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BibTeXRIS

Kirill Mackenzie, Ping Xu. 1997-10-28. Classical lifting processes and multiplicative vector fields. https://arxiv.org/abs/dg-ga/9710030

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