Z-graded weak modules and regularity

Details Z-graded weak modules and regularity Z-graded weak modules and regularity

2011-04-13

arxiv.org/abs/1104.2369v1

Mathematics

Quantum Algebra

9 pages

Scientific paper

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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