We study the supersymmetric extension of the sympiectic Faddeev-Jackiw
quantum formalism. The key equations are written in an alternative wa
y, so that the inverse of the sympiectic supermatrix is easily compute
d. The results art applied to the quantization problem of supersymmetr
ic anyon systems. In particular the supersymmetric non-linear sip,ma m
odel including the topological Hopi current is analyzed. (C) 1998 Acad
emic Press.