  Quasiparticles with fractional charge and fractional statistics are key
features of the fractional quantum Hall effect. We discuss in detail the
definitions of fractional charge and statistics and the ways in which these
properties may be observed. In addition to theoretical foundations, we review
the present status of the experiments in the area. We also discuss the notions
of non-Abelian statistics and attempts to find experimental evidence for the
existence of non-Abelian quasiparticles in certain quantum Hall systems.
