English

Rationality, Regularity, and C_2-cofiniteness

Quantum Algebra 2007-05-23 v1

Abstract

We demonstrate that, for CFT vertex operator algebras, C_2-cofiniteness and rationality is equivalent to regularity. In addition, we show that, for C_2-cofinite vertex operators algebras, irreducible weak modules are ordinary modules and C_2-cofinite, and V_L^+ are C_2-cofinite.

Keywords

Cite

@article{arxiv.math/0204021,
  title  = {Rationality, Regularity, and C_2-cofiniteness},
  author = {T. Abe and G. Buhl and C. Dong},
  journal= {arXiv preprint arXiv:math/0204021},
  year   = {2007}
}

Comments

latex, 15 pages