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The theta functions of sublattices of the Leech lattice

Published online by Cambridge University Press:  22 January 2016

Takeshi Kondo  and
Takashi Tasaka
Takeshi Kondo
Affiliation:
Department of Matheinatics, Colledge of Arts and Sciences University of Tokyo, Komaba, Meguro-ku Tokyo 153, Japan
Takashi Tasaka
Affiliation:
Department of Matheinatics, Colledge of Arts and Sciences University of Tokyo, Komaba, Meguro-ku Tokyo 153, Japan
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Let Λ be the Leech lattice which is an even unimodular lattice with no vectors of squared length 2 in 24-dimensional Euclidean space R24. Then the Mathieu Group M24 is a subgroup of the automorphism group .0 of Λ and the action on Λ of M24 induces a natural permutation representation of M24 on an orthogonal basis For , let Λm be the sublattice of vectors invariant under m:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 101 , March 1986 , pp. 151 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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