11 citations · 35 across the 24 of their papers we have counts for
26 papers
Lattice vertex algebras over a field of positive characteristic: degenerate cases
Robert L. Griess, Ching Hung Lam
A vertex operator algebra associated with a positive definite even lattice has a standard integral form, which we denote it by . If is a field of c…
Integral forms in vertex operator algebras, a survey
Robert L. Griess
We give a brief survey of recent work on integral forms in vertex operator algebras (VOAs).
Determinants for integral forms in lattice type vertex operator algebras
Chongying Dong, Robert L. Griess
We prove a determinant formula for the standard integral form of a lattice vertex operator algebra.
Lattice-integrality of certain group-invariant integral forms in vertex operator algebras
Chongying Dong, Robert L. Griess
Certain vertex operator algebras have integral forms (integral spans of bases which are closed under the countable set of products). It is unclear when they (or integral multiples…
Applications of vertex algebra covering procedures to Chevalley groups and modular moonshine
Robert L. Griess, Ching Hung Lam
A vertex operator algebra of lattice type ADE has a standard integral form which extends a Chevalley basis for its degree 1 Lie algebra. This integral form may be used to define a…
Moonshine paths for 3A and 6A nodes of the extended E8-diagram
Robert L. Griess, Ching Hung lam
We continue the program to make a moonshine path between a node of the extended -diagram and the Monster. Our theory is a concrete model expressing some of the mysterious conn…