  A detailed Dirac's and Faddeev-Jackiw quantization of Bonzom-Livine model
describing gravity in three dimensions is performed. The full structure of the
constraints, the gauge transformations and the generalized Faddeev-Jackiw
brackets are found. In addition, we show that the Faddeev-Jackiw and Dirac's
brackets coincide to each other. Finally we discuss some remarks and prospects.
