arxiv: 1505.06420 · v3 · pith:TR2FY24Lnew · submitted 2015-05-24 · 🧮 math.GR · hep-th· math.AG

The 290 fixed-point sublattices of the Leech lattice

Gerald Hoehn , Geoffrey Mason This is my paper

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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The 290 fixed-point sublattices of the Leech lattice

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