Conference matrices and unimodular lattices

Mathematics – Number Theory

Scientific paper

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17 pages. Subitted to European Journal of Combinatorics

Scientific paper

Conference matrices are used to define complex structures on real vector
spaces. Certain lattices in these spaces become modules for rings of quadratic
integers. Multiplication of these lattices by non-principal ideals yields
simple constructions of further lattices including the Leech lattice.

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