科研之友
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摘要
A series of associative algebras A(n)(V) for a vertex operator algebra V over an arbitrary algebraically closed field and nonnegative integers n are constructed such that there is a one to one correspondence between irreducible An(V)-modules which are not A(n-1)(V) modules and irreducible V-modules. Moreover, it is proved that V is rational if and only if A(n)(V) are semisimple for all n. In particular, the homogeneous subspaces of any irreducible V-module are finite dimensional for rational vertex operator algebra V.
- 出版日期2017-9-1
- 单位四川大学
