Rational vertex operator algebras are finitely generated

Details Rational vertex operator algebras are finitely generated Rational vertex operator algebras are finitely generated

2008-06-13

arxiv.org/abs/0806.2346v1

Mathematics

Quantum Algebra

6 pages

Scientific paper

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.

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