470 citations · 1.4k across the 102 of their papers we have counts for
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Rank one lattice type vertex operator algebras and their automorphism groups
Chongying Dong, Robert L. Griess
Let L be a positive definite even lattice of rank one 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…
Framed vertex operator algebras, codes and the moonshine module
C. Dong, R. L. Griess, G. Hoehn
For a simple vertex operator algebra whose Virasoro element is a sum of commutative Virasoro elements of central charge 1/2, two codes are introduced and studied. It is proved that…
Modular invariance of trace functions in orbifold theory
Chongying Dong, Haisheng Li, Geoffrey Mason
The goal of the present paper is to provide a mathematically rigorous foundation to certain aspects of rational orbifold conformal field theory, in other words the theory of ration…
Twisted representations of vertex operator algebras and associative algebras
C. Dong, H. Li, G. Mason
Let V be a vertex operator algebra and g an automorphism of order T. We construct a sequence of associative algebras A_{g,n}(V) with n\in\frac{1}{T}\Z nonnegative such that A_{g,n}…
Vertex operator algebras and associative algebras
Chongying Dong, Haisheng Li, Geoffrey Mason
Let V be a vertex operator algebra. We construct a sequence of associative algebras A_n(V) (n=0,1,2,...) such that A_{n}(V) is a quotient of A_{n+1}(V) and a pair of functors betwe…
The radical of a vertex operator algebra
C. Dong, H. Li, G. Mason +1
The radical of a vertex operator algebra is defined to be the subspace of consisting of vectors such that the zero mode on where i…
Compact automorphism groups of vertex operator algebras
Chongying Dong, Haisheng Li, Geoffrey Mason
Let be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group of automorphisms. We establish a Schur-Weyl type duality between…
Associative subalgebras of the Griess algebra and related topics
C. Dong, H. Li, G. Mason +1
It is shown how certain idempotents in the Griess algebra generate the discrete series representations for the Virasoro algebra inside the Frenkel-Lepowsky-Meurman's moonshine modu…
Certain associative algebras similar to and Zhu's algebra
Chongying Dong, Haisheng Li, Geoffrey Mason
It is proved that Zhu's algebra for vertex operator algebra associated to a positive-definite even lattice of rank one is a finite-dimensional semiprimitive quotient algebra of cer…
The algebraic structure of relative twisted vertex operators
Chongying Dong, James Lepowsky
Twisted vertex operators based on rational lattices have had many applications in vertex operator algebra theory and conformal field theory. In this paper, ``relativized'' twisted…
Hom functor and the associativity of tensor products of modules for vertex operator algebras
Chongying Dong, Haisheng Li, Geoffrey Mason
We give a new, construction-free proof of the associativity of tensor product for modules for rational vertex operator algebras under certain convergence conditions.
Vertex operator algebras associated to admissible representations of
Chongying Dong, Haisheng Li, Geoffrey Mason
The admissible modules for are studied from the point of view of vertex operator algebra. If is rational such that for some coprime positive integ…
Twisted representations of vertex operator algebras
Chongying Dong, Haisheng Li, Geoffrey Mason
Let be a vertex operator algebra and an automorphism of finite order. We construct an associative algebra and a pair of functors between the category of -m…
Regularity of rational vertex operator algebras
Chongying Dong, Haisheng Li, Geoffrey Mason
A regular vertex operator algebra is a vertex operator algebra such that any weak module (without grading) is a direct sum of ordinary irreducible modules. In this paper we give se…
Introduction to vertex operator algebras I
Chongying Dong
This is the first part of the revised versions of the notes of three consecutive expository lectures given by Chongying Dong, Haisheng Li and Yi-Zhi Huang in the conference on Mons…
Some twisted sectors for the Moonshine Module
Chongying Dong, Haisheng Li, Geoffrey Mason
For the moonshine module whose automorphism is the Monster We show how to give a uniform existence proof for irreducible -twisted modules for element…
Simple currents and extensions of vertex operator algebras
Chongying Dong, Haisheng Li, Geoffrey Mason
We consider how a vertex operator algebra can be extended to an abelian intertwining algebra by a family of weak twisted modules which are {\em simple currents} associated with sem…