Functorial prolongations of Lie groupoids

Ivan Kolář. "Functorial prolongations of Lie groupoids." Banach Center Publications 76.1 (2007): 177-184. <http://eudml.org/doc/282124>.

@article{IvanKolář2007,
abstract = {For every Lie groupoid Φ 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, we construct a Lie groupoid ℱ Φ over M. Every action of Φ on a fibered manifold Y → M is extended to an action of ℱ Φ on FY → M.},
author = {Ivan Kolář},
journal = {Banach Center Publications},
keywords = {Lie groupoid; fiber product preserving bundle functor; functorial prolongation; Weil algebra},
language = {eng},
number = {1},
pages = {177-184},
title = {Functorial prolongations of Lie groupoids},
url = {http://eudml.org/doc/282124},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Ivan Kolář
TI - Functorial prolongations of Lie groupoids
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 177
EP - 184
AB - For every Lie groupoid Φ 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, we construct a Lie groupoid ℱ Φ over M. Every action of Φ on a fibered manifold Y → M is extended to an action of ℱ Φ on FY → M.
LA - eng
KW - Lie groupoid; fiber product preserving bundle functor; functorial prolongation; Weil algebra
UR - http://eudml.org/doc/282124
ER -