Automorphisms of Niemeier lattices for Miyamoto's Z_3-orbifold construction
Automorphisms of Niemeier lattices for Miyamoto's Z_3-orbifold construction
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Miyamoto Z_3-轨道结构的尼迈尔格自同构
DOI：
10.1007/s00209-015-1413-z
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发表时间：
2015
影响因子：
0.8
通讯作者：
and Hiroki Shimakura
中科院分区：
文献类型：
--
作者：
Motohiro Ishii;Daisuke Sagaki;and Hiroki Shimakura
我们分类，共轭，所有的自同构的Niemeier格，我们可以申请宫本的orbifold建设。利用这种分类，我们证明了在Miyamoto（对称性，可积系统和表示。斯普林格数学与统计学报，第40卷。Springer，伦敦，第319-344页，2013年）以及Sagaki和Shimakura（Trans Am Math Soc，出现）都是全纯非晶格VOA，我们可以通过将-orbifold构造应用于Niemeier晶格及其自同构来获得。
We classify, up to conjugation, all automorphisms of Niemeier lattices to which we can apply Miyamoto’s orbifold construction. Using this classification, we prove that the VOAs obtained in Miyamoto (Symmetries, integrable systems and representations. Springer proceedings in mathematics and statistics, vol 40. Springer, London, pp 319–344, 2013) and Sagaki and Shimakura (Trans Am Math Soc, to appear) are all of holomorphic non-lattice VOAs which we can obtain by applying the-orbifold construction to a Niemeier lattice and its automorphism.