On some sublattices of the Leech lattice
On some sublattices of the Leech lattice
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关于 Leech 晶格的一些亚晶格
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
M. Lang
中科院分区：
文献类型：
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作者：
K. Harada;M. Lang
本文是Harada-Lang [5]和M. L. Lang [8]研究了Leech格的自同构群的共轭类的性质。在[8]中，第二作者证明了15个共轭类与Conway-Norton的“MonasterMoonshine“[2]中的其他类有不同的行为。在[5]中，研究了这15个共轭类的非零亏格性质，并得到了5条定义在整数上的椭圆曲线。本文研究了不变子格、它们的自同构群以及它们在O中的实现。更精确地说，设g\in G=.O，Leech格\Lambda的自同构群，且\Lambda_{g}=
This paper is a continuation of Harada-Lang [5] and M. L. Lang [8] to investigate the behaviour of the conjugacy classes of the automorphism group of the Leech lattice. In [8], the second author showed that fifteen conjugacy classes behave differently from other classes in connection with Conway-Norton’s “ Monstrous Moonshine ” [2], In [5], the nonzer0-genus property of these fifteen conjugacy classes was studied and five elliptic curves defined over integers were produced. In this paper, the invariance sublattices, their automorphism groups and realization of them in .O will be investigated. More precisely, let g\in G=.O , the automorphism group of the Leech lattice \Lambda , and \Lambda_{g}=