%0 Journal Article
%T On the linearization theorem for proper Lie groupoids
%A Marius Crainic
%A Ivan Struchiner
%J Mathematics
%D 2011
%I arXiv
%X We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the the fixed point case (known as Zung's theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passing to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise conditions needed for the theorem to hold (which often have been misstated in the literature).
%U http://arxiv.org/abs/1103.5245v2