Comments on: a monstrous unimodular lattice https://lievenlebruyn.github.io/neverendingbooks/a-monstrous-unimodular-lattice/ Sat, 31 Aug 2024 11:08:26 +0000 hourly 1 https://wordpress.org/?v=6.6.1 By: Theo Johnson-Freyd https://lievenlebruyn.github.io/neverendingbooks/a-monstrous-unimodular-lattice/#comment-121 Fri, 30 Apr 2021 14:37:20 +0000 http://www.neverendingbooks.org/?p=9722#comment-121 If I have a lattice defined away from some primes, to what extent can you talk about minimal-norm vectors? Maybe “norm” has to be in some p-adic sense? What I really should mean is to write down the full “spectrum” of the lattice. Then maybe the p-local spectrums glue to the integral spectrum?

Clearly this obliquely-described 196884-dimensional unimodular lattice should be called the “Carnahan lattice”.

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