%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