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Rationality, Regularity, and C2-cofiniteness

T. Abe, G. Buhl, C. Dong

math.QAarXiv:math/0204021

Abstract

We demonstrate that, for CFT vertex operator algebras, C2-cofiniteness and rationality is equivalent to regularity. In addition, we show that, for C2-cofinite vertex operators algebras, irreducible weak modules are ordinary modules and C2-cofinite, and VL+ are C2-cofinite.

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