Functorial Prolongations of Lie Groupoids
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Proceedings |
| Conference | Geometry and Topology of Manifolds, Banach Center Publications |
| MU Faculty or unit | |
| 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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