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A cyclotomic construction for Leech's lattice

Published online by Cambridge University Press:  26 February 2010

Maurice Craig
Maurice Craig
Affiliation:
Department of Mathematics, Western Illinois University, Macomb, Illinois 61455, U.S.A.
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Extract

The 24 classes of even-valued, unimodular, positive quadratic forms in 24 variables have been determined by Niemeier [6]. One class is distinguished from the rest by the property that its forms have arithmetic minimum 4, rather than 2. The 24-dimensional lattice Λ corresponding to this form-class can therefore be identified with one found earlier by Leech [4], which has been studied extensively in connection with sporadic simple groups (e.g. [1]).

Type
Research Article
Information
Mathematika , Volume 25 , Issue 2 , December 1978 , pp. 236 - 241
Copyright
Copyright © University College London 1978

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References

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