12 papers
Monstrous Moonshine: The first twenty-five years
T. Gannon
Twenty-five years ago, Conway and Norton published their remarkable paper `Monstrous Moonshine', proposing a completely unexpected relationship between finite simple groups and mod…
Postcards from the edge, or Snapshots of the theory of generalised Moonshine
T. Gannon
In 1978, John McKay made an intriguing observation: 196884=196883+1. Monstrous Moonshine is the collection of questions (and a few answers) inspired by this observation. Like moonl…
Algorithms for affine Kac-Moody algebras
Terry Gannon
Weyl groups are ubiquitous, and efficient algorithms for them -- especially for the exceptional algebras -- are clearly desirable. In this paper we provide several of these, addres…
Modular data: the algebraic combinatorics of conformal field theory
Terry Gannon
This paper is primarily intended as an introduction for the mathematically inclined to some of the rich algebraic combinatorics arising in for instance CFT. It is essentially self-…
The automorphisms of affine fusion rings
T. Gannon
The fusion rings associated to affine Kac-Moody algebras appear in several different contexts in math and mathematical physics. In this paper we find all automorphisms of all affin…
Congruence subgroups and rational conformal field theory
A. Coste, T. Gannon
We address here the question of whether the characters of an RCFT are modular functions for some level N, i.e. whether the representation of the modular group SL_2(Z) coming from a…