On C-2-cofiniteness of parafermion vertex operator algebras

@article{Dong2010OnCO,
  title={On C-2-cofiniteness of parafermion vertex operator algebras},
  author={Chongying Dong and Qing Wang},
  journal={Journal of Algebra},
  year={2010},
  volume={328},
  pages={420-431}
}
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
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 3-state Potts model and Rogers-Ramanujan series
We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A2(2) -modules, previously discovered by the first author in [Feingold A.J., Some applications of vertex
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
SCHUR–WEYL DUALITY FOR HEISENBERG COSETS
Let V be a simple vertex operator algebra containing a rank n Heisenberg vertex algebra H and let C = Com(H;V) be the coset of H in V. Assuming that the module categories of interest are vertex
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We demonstrate that, for vertex operator algebras of CFT type, C 2 -cofiniteness and rationality is equivalent to regularity. For C 2 -cofinite vertex operator algebras, we show that irreducible weak
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