%0 Journal Article %T The irreducible modules and fusion rules for the parafermion vertex operator algebras %A Chunrui Ai %A Chongying Dong %A Xiangyu Jiao %A Li Ren %J Mathematics %D 2014 %I arXiv %X The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra and any positive integer are identified, the quantum dimensions are computed and the fusion rules are determined. %U http://arxiv.org/abs/1412.8154v1