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The Leech lattice and other lattices

R. E. Borcherds
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Abstract

This is an unpublished manuscript written in 1983-4. It contains several results about lattices (=integral quadratic forms) including the classification of the unimodular lattices in dimensions up to 25 and the construction of unimodular lattices with no roots in dimensions 26 and 27.

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R. E. Borcherds. 1999-11-24. The Leech lattice and other lattices. https://arxiv.org/abs/math/9911195

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