%0 Journal Article %T GIT-cones and quivers %A Nicolas Ressayre %J Mathematics %D 2009 %I arXiv %X In this work, we improve results about GIT-cones associated to the action of any reductive group $G$ on a projective variety $X$. These results are applied to give a short proof of a Derksen-Weyman's Theorem which parametrizes bijectively the faces of a rational cone associated to any quiver without oriented cycle. %U http://arxiv.org/abs/0903.1202v1