# RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

```@article{Huang2005RIGIDITYAM,
title={RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES},
author={Yi-Zhi Huang},
journal={Communications in Contemporary Mathematics},
year={2005},
volume={10},
pages={871-911}
}```
• Yi-Zhi Huang
• Published 25 February 2005
• Mathematics
• Communications in Contemporary Mathematics
Let V be a simple vertex operator algebra satisfying the following conditions: (i) V(n) = 0 for n < 0, V(0) = ℂ1 and V′ is isomorphic to V as a V-module. (ii) Every ℕ-gradable weak V-module is completely reducible. (iii) V is C2-cofinite. (In the presence of Condition (i), Conditions (ii) and (iii) are equivalent to a single condition, namely, that every weak V-module is completely reducible.) Using the results obtained by the author in the formulation and proof of the general version of the…
181 Citations
Vertex operator algebras, the Verlinde conjecture, and modular tensor categories.
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• Mathematics
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