59 citations · 221 across the 13 of their papers we have counts for
4 papers · 2 filters
Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
Scott Carnahan, Takahiro Komuro, Satoru Urano
Given a holomorphic -cofinite vertex operator algebra with graded dimension , Borcherds's proof of the monstrous moonshine conjecture implies any finite order autom…
A Self-Dual Integral Form of the Moonshine Module
Scott Carnahan
We construct a self-dual integral form of the moonshine vertex operator algebra, and show that it has symmetries given by the Fischer-Griess monster simple group. The existence of…
51 constructions of the Moonshine module
Scott Carnahan
We show using Borcherds products that for any fixed-point free automorphism of the Leech lattice satisfying a "no massless states" condition, the corresponding cyclic orbifold of t…
Fricke Lie algebras and the genus zero property in Moonshine
Scott Carnahan
We give a new, simpler proof that the canonical actions of finite groups on Fricke-type Monstrous Lie algebras yield genus zero functions in Generalized Monstrous Moonshine, using…