Let V be a simple vertex operator algebra and G a finite automorphism group. Then there is
a natural right G-action on the set of all inequivalent irreducible V-modules. Let \calS be a …

LetVbe a vertex operator algebra. We construct a sequence of associative algebrasAn
(V)(n= 0, 1, 2,…) such thatAn (V) is a quotient ofAn+ 1 (V) and a pair of functors between the …

We give a natural extension of the notion of the contragredient module for a vertex operator
algebra. By using this extension we prove that for regular vertex operator algebras, Zhu'sC2 …

We construct an associative algebra $ A (V) $ for each vertex operator algebra $ V $. And
we establish an one-to-one corresponding relation between irreducible $ A (V) $-modules …

This paper is to establish a theory of regular representations for vertex operator algebras. In
the paper, for a vertex operator algebra V and a V-module W, we construct, out of the dual …

This paper studies the twisted representations of vertex operator algebras. Let $ V $ be a
vertex operator algebra and $ g $ an automorphism of $ V $ of finite order $ T. $ For any $ m …

We prove the Verlinde conjecture in the following general form: Let V be a simple vertex
operator algebra satisfying the following conditions:(i) V (n)= 0 for n< 0, V (0)= ℂ 1 and V′ is …

Let V be a vertex operator algebra and m, n≥ 0. We construct an A n (V)-A m (V)-bimodule A
n, m (V) which determines the action of V from the level m subspace to level n subspace of …

We prove the Verlinde conjecture in the following general form: Let V be a simple vertex
operator algebra satisfying the following conditions:(i) The homogeneous subspaces of V of …

In [D1], all irreducible modules for vertex algebras V, _ associated with even lattices L are
classified: that is, every irreducible module for V, _ is isomorphic to the untwisted Fock space …