Functorial Prolongations of Lie Groupoids

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Authors

KOLÁŘ Ivan

Year of publication 2007
Type Article in Proceedings
Conference Geometry and Topology of Manifolds, Banach Center Publications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Lie groupoid; fiber product preserving bundle functor; functorial prolongation; Weil algebra
Description We deduce that every Lie groupoid G with m-dimensional base M and every fiber product preserving bundle functor F on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps induces a Lie groupoid FG over M. Every action of G on a fibered manifold Y over M induces an action on FG on FY.
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