The 290 fixed-point sublattices of the Leech lattice
Group Theory
2016-01-18 v3 High Energy Physics - Theory
Algebraic Geometry
Abstract
We determine the orbits of fixed-point sublattices of the Leech lattice with respect to the action of the Conway group Co_0. There are 290 such orbits. Detailed information about these lattices, the corresponding coinvariant lattices, and the stabilizing subgroups, is tabulated in several tables.
Keywords
Cite
@article{arxiv.1505.06420,
title = {The 290 fixed-point sublattices of the Leech lattice},
author = {Gerald Hoehn and Geoffrey Mason},
journal= {arXiv preprint arXiv:1505.06420},
year = {2016}
}
Comments
22 pages, 1 table, latex; 2 supplemental tables (pdf) and 1 data file (text) included in the source file. Version 2 adds a note describing the situation for the E_8 lattice. Version 3 adds data for the lattices as text file readable by the computer algebra system Magma