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20032005
most citedOn the uniqueness of the moonshine vertex operator algebra

3 citations · 4 across the 8 of their papers we have counts for

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math.QA20053 cited

On the uniqueness of the moonshine vertex operator algebra

Chongying Dong, Robert L. Griess, Ching Hung Lam

It is proved that a vertex operator algebra is isomorphic to the moonshine VOA of Frenkel-Lepowsky-Meurman if it satisfies certain conditions. Our two main theorems establish a wea…

math.QA2004

Shifted Vertex Operator Algebras

Chongying Dong, Geoffrey Mason

We study the properties of shifted vertex operator algebras, which are vertex algebras derived from a given theory by shifting the conformal vector. In this way, we are able to exh…

math.QA2004

Twisted representations of vertex operator superalgebras

Chongying Dong, Zhongping Zhao

This paper gives an analogue of A_g(V) theory for a vertex operator superalgebra V and an automorphism g of finite order. The relation between the g-twisted V-modules and A_g(V)-mo…

math.QA2004

Local and Semilocal Vertex Operator Algebras

Chongying Dong, Geoffrey Mason

We investigate a general structure theory for a vertex operator algebra. We discuss the center and blocks, the Jacobson radical and solvable radical and local vertex operator algeb…

math.QA2004

The rank two lattice type vertex operator algebras V_L^+ and their automorphism groups

Chongying Dong, Robert L. Griess

Let L be a positive definite even lattice and V_L^+ be the fixed points of the lattice VOA V_L associated to L under an automorphism of V_L lifting the -1 isometry of L. For any po…

math.QA2003

Fusion rules for the vertex operator algebras M(1)^+ and V_L^+

T. Abe, C. Dong, H. Li

The fusion rules for the vertex operator algebras M(1)^+ (of any rank) and V_L^+ (for any positive definite even lattice L) are determined completely.