A characterisation of Leech's lattice

  title={A characterisation of Leech's lattice},
  author={John H. Conway},
  journal={Inventiones mathematicae},
  • J. Conway
  • Published 1 June 1969
  • Mathematics
  • Inventiones mathematicae
[-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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  • J. Leech
  • Mathematics
    Canadian Journal of Mathematics
  • 1964
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  • J. Conway
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1968
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