pith. sign in

arxiv: math/0508228 · v2 · submitted 2005-08-13 · 🧮 math.GR · math.NT

The complex Lorentzian Leech lattice and the bimonster

classification 🧮 math.GR math.NT
keywords groupreflectionsautomorphismbimonsterdiagramfindlatticeleech
0
0 comments X
read the original abstract

We find 26 reflections in the automorphism group of the the Lorentzian Leech lattice L over Z[exp(2*pi*i/3)] that form the Coxeter diagram seen in the presentation of the bimonster. We prove that these 26 reflections generate the automorphism group of L. We find evidence that these reflections behave like the simple roots and the vector fixed by the diagram automorphisms behaves like the Weyl vector for the refletion group.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.