Leech 格的 290 个不动点子格
群论
2016-01-18 v3 高能物理 - 理论
代数几何
摘要
我们确定了 Leech 格的不动点子格在 Conway 群 Co_0 作用下的轨道。存在 290 个这样的轨道。关于这些格、相应的协不变格以及稳定子群的详细信息在数张表中列出。
引用
@article{arxiv.1505.06420,
title = {The 290 fixed-point sublattices of the Leech lattice},
author = {Gerald Hoehn and Geoffrey Mason},
journal= {arXiv preprint arXiv:1505.06420},
year = {2016}
}
备注
22 pages, 1 table, latex; 2 supplemental tables (pdf) and 1 data file (text) included in the source file. Version 2 adds a note describing the situation for the E_8 lattice. Version 3 adds data for the lattices as text file readable by the computer algebra system Magma