根格$A_4$的符合旋转
Coincidence rotations of the root lattice $A_4$
摘要：
考虑了根格$A_4$的重合格点，用狄利克雷级数生成函数表示了对应的重合旋转统计量.通过将$A_4$嵌入到具有丰富算术结构的icosian环中，这是可能的，最近（arXiv：math.MG/0702448）导致了$A_4$的相似子格的分类。
英文摘要：
The coincidence site lattices of the root lattice $A_4$ are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of $A_4$ into the icosian ring with its rich arithmetic structure, which recently (arXiv:math.MG/0702448) led to the classification of the similar sublattices of $A_4$.
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