470 citations · 1.4k across the 102 of their papers we have counts for
6 papers · 2 filters
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.