Extension Quiver for Lie Superalgebra q(3).
We describe all blocks of the category of finite-dimensional q(3)-supermodules by providing their extension quivers. We also obtain two general results about the representation of q(n): we show that the Ext quiver of the standard block of q(n) is obtained from the principal block of q(n-1) by identifying certain vertices of the quiver and prove a "virtual" BGG-reciprocity for q(n). The latter result is used to compute the radical filtrations of q(3) projective covers.