## Cyclotomic fields and lattices

Adam P. Goucher discusses lattices constructed from cyclotomic fields. In particular, one possible lattice that can be constructed is the Leech lattice. As the Leech lattice has a notorious lack of simple constructions, it’s worth considering this in more detail. If $\zeta_n$ is a primitive $n$th root of unity, the $n$th cyclotomic ring $\mathbb Z[\zeta_n]$ […]

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