Z-graded weak modules and regularity
Quantum Algebra
2015-05-27 v1 Representation Theory
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.
Cite
@article{arxiv.1104.2369,
title = {Z-graded weak modules and regularity},
author = {Chongying Dong and Nina Yu},
journal= {arXiv preprint arXiv:1104.2369},
year = {2015}
}
Comments
9 pages