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arXiv · 1104.2369

Z-graded weak modules and regularity

Chongying Dong·Nina Yu
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Abstract

It is proved that if any Z-graded weak module for vertex operator algebra V is completely reducible, then V is rational and C_2-cofinite. That is, V is regular. This gives a natural characterization of regular vertex operator algebras.

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BibTeXRIS

Chongying Dong, Nina Yu. 2011-04-13. Z-graded weak modules and regularity. https://doi.org/10.1007/s00220-012-1543-7

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