11 citations · 35 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
Diagonal lattices and rootless pairs
Robert L. Griess, Ching Hung Lam
Let E be an integral lattice. We first discuss some general properties of an SDC lattice, i.e., a sum of two diagonal copies of E in E \bot E. In particular, we show that its group…
A moonshine path for 5A and associated lattices of ranks 8 and 16
Robert L. Griess, Ching Hung Lam
We continue the program, begun in \cite{gl3cpath}, to make a moonshine path between a node of the extended -diagram and the Monster simple group. Our goal is to provide a cont…
A moonshine path from to the monster
Robert L. Griess, Ching Hung Lam
One would like an explanation of the provocative McKay and Glauberman-Norton observations connecting the extended -diagram with pairs of 2A involutions in the Monster sporadic…
Corrections and additions to `` Pieces of : existence and uniqueness for Barnes-Wall and Ypsilanti lattices. ''
Robert L. Griess
Mainly, we correct the uniqueness result by adding a projection requirement to condition X and give a better proof for the equivalence of commutator density, 2/4-generation and 3/4…
Involutions on the the Barnes-Wall lattices and their fixed point sublattices, I
Robert L. Griess
We study the sublattices of the rank Barnes-Wall lattices $\bw d$ which occur as fixed points of involutions. They have ranks (for dirty involutions) or $2^{d-1}\pm…