The 290 fixed-point sublattices of the Leech lattice
classification
🧮 math.GR
hep-thmath.AG
keywords
fixed-pointlatticelatticesleechorbitssublatticesactioncoinvariant
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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.
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