%0 Journal Article %T Representation theorem for generators of quadratic BSDEs %A Shiqiu Zheng %A Shoumei Li %J Mathematics %D 2014 %I arXiv %X In this paper, we establish a general representation theorem for generator of backward stochastic differential equation (BSDE), whose generator has a quadratic growth in $z$. As some applications, we obtain a general converse comparison theorem of such quadratic BSDEs and uniqueness theorem, translation invariance for quadratic $g$-expectation. %U http://arxiv.org/abs/1405.4789v5