English

The Leech lattice and other lattices

Number Theory 2007-05-23 v1 Group Theory

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This is an unpublished manuscript written in 1983-4.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.

Keywords

Cite

@article{arxiv.math/9911195,
  title  = {The Leech lattice and other lattices},
  author = {R. E. Borcherds},
  journal= {arXiv preprint arXiv:math/9911195},
  year   = {2007}
}

Comments

114 pages, plain tex

R2 v1 2026-07-22T18:05:23.598Z