Rationality, regularity, and 𝐶₂-cofiniteness

  • Abe T
  • Buhl G
  • Dong C
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Abstract

We demonstrate that, for vertex operator algebras of CFT type, C 2 C_2 -cofiniteness and rationality is equivalent to regularity. For C 2 C_2 -cofinite vertex operator algebras, we show that irreducible weak modules are ordinary modules and C 2 C_2 -cofinite, V L + V_L^+ is C 2 C_2 -cofinite, and the fusion rules are finite.

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APA

Abe, T., Buhl, G., & Dong, C. (2003). Rationality, regularity, and 𝐶₂-cofiniteness. Transactions of the American Mathematical Society, 356(8), 3391–3402. https://doi.org/10.1090/s0002-9947-03-03413-5

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