Next-to-Leading Order Evolution of Polarized Fragmentation Functions

We present a brief description of the determination of the two-loop spin-dependent time-like splitting functions relevant for the NLO evolution of polarized fragmentation functions. Our calculation based on the analytic continuation of the corresponding space-like results obtained within the light-cone gauge method proposed by Curci, Furmanski, and Petronzio. As an application we present an analysis of polarized Lambda production in e+e- and ep collisions.