Publication date:
31 July 2017
Source:Advances in Mathematics, Volume 315
Author(s): Chongying Dong, Li Ren
The rationality of the parafermion vertex operator algebra $K(\mathfrak{g},k)$ associated to any finite dimensional simple Lie algebra $\mathfrak{g}$ and any nonnegative integer k is established and the irreducible modules are determined.