The realization of non-Abelian statistics in condensed matter systems was first proposed in the following two papers.
G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991)
X.-G. Wen, Phys. Rev. Lett. 66, 802 (1991)

I wrote [a review article](http://arxiv.org/abs/1203.3268) to explain FQH state (include non-Abelian FQH state)
to mathematicians, which include the explanations of some basic but important concepts, such as gapped state, phase of matter, universality, etc.
It also explains topological quasiparticle, quantum dimension, non-Abelian statistics, topological order etc.