The structure of parafermion vertex operator algebras

@article{Dong2010TheSO,
  title={The structure of parafermion vertex operator algebras},
  author={Chongying Dong and Ching Hung Lam and Qing Wang and Hiromichi Yamada},
  journal={Journal of Algebra},
  year={2010},
  volume={323},
  pages={371-381}
}
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52 Citations
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52 Citations

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On C-2-cofiniteness of parafermion vertex operator algebras
The Structure of Parafermion Vertex Operator Algebras: General Case
The structure of the parafermion vertex operator algebra associated to an integrable highest weight module for any affine Kac-Moody algebra is studied. In particular, a set of generators for this…
The structure of parafermion vertex operator algebras K(osp(1|2n),k)
Representations of the parafermion vertex operator algebras
Representations of Z2-orbifold of the parafermion vertex operator algebra K(sl2,k)
Quantum dimensions and fusion rules for parafermion vertex operator algebras
The quantum dimensions and the fusion rules for the parafermion vertex operator algebra associated to the irreducible highest weight module for the affine Kac-Moody algebra A (1) 1 of level k are…
The irreducible modules and fusion rules for the parafermion vertex operator algebras
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…
Lattice Subalgebras of Strongly Regular Vertex Operator Algebras
We prove a sharpened version of a conjecture of Dong–Mason about lattice subalgebras of a strongly regular vertex operator algebra V, and give some applications. These include the existence of a…
Singular Vectors and Zhu’s Poisson Algebra of Parafermion Vertex Operator Algebras
We study Zhu’s Poisson algebra of parafermion vertex operator algebras associated with integrable highest weight modules for the affine Kac-Moody Lie algebra \(\widehat{sl}_{2}\). Using singular…
Trace functions of the parafermion vertex operator algebras
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References

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We completely classify diffeomorphism covariant local nets of von Neumann algebras on the circle with central charge c less than 1. The irreducible ones are in bijective correspondence with the pairs…
Decomposition of the lattice vertex operator algebra V2Al
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