Affine Weyl groups
Affine Weyl groups
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仿射外尔群
DOI：
10.1007/978-1-4757-3542-0_12
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发表时间：
2001
期刊：
影响因子：
2.5
通讯作者：
P. Borwein
中科院分区：
文献类型：
--
作者：
R. Kane;J. Borwein;P. Borwein
我们可以从晶体学根系的外尔群出发，形成一个无限群，它有更多关于根系的信息，但仍然具有类似于外尔群的结构。值得注意的是，它具有考克斯特集团结构。这个群叫做仿射Weyl群。仿射外尔群有许多用途。在第12章中，我们将用它们来分析晶体学根系的亚根系。它们甚至对理解普通的外尔群也很有用。这将在第11-6节中说明。
We can pass from the Weyl group of a crystallographic root system and form an infinite group that has more information about the root system, and yet still possesses a structure analogous to that of the Weyl group. Notably, it has a Coxeter group structure. This group is called the affine Weyl group. Affine Weyl groups have a number of uses. They will be used in Chapter 12 to analyze subroot systems of crystallographic root systems. They are even useful for understanding ordinary Weyl groups. This will be demonstrated in §11–6.