# A characterisation of Leech's lattice

@article{Conway1969ACO, title={A characterisation of Leech's lattice}, author={John H. Conway}, journal={Inventiones mathematicae}, year={1969}, volume={7}, pages={137-142} }

[-5, 6] promises to be the subject of many investigations. We give here a short proof that this lattice is characterised by some of its simplest properties. Although we must quote two theorems to open and close the proof, the reader can take these on trust if he wishes, and he will find that the proof is otherwise completely self-contained. In particular the Leech lattice will itself be defined in the course of its characterisation, so that no acquaintance with it is presupposed, although for…

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