| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588190 | Journal of Algebra | 2008 | 5 Pages |
Abstract
It is proved that any vertex operator algebra for which the image of the Virasoro element in Zhu's algebra is algebraic over complex numbers is finitely generated. In particular, any vertex operator algebra with a finite-dimensional Zhu's algebra is finitely generated. As a result, any rational vertex operator algebra is finitely generated.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
