论文标题
在真实仿射根系的对称封闭子集上
On symmetric closed subsets of real affine root systems
论文作者
论文摘要
有限晶体根系系统的任何对称闭合子集都必须是一个封闭的户外系统。通常，对于真实的仿射根系，这并非如此。在本文中，我们确定何时是真的，并且还提供了对真实仿射根系的对称封闭子集的非常明确的描述。最后，使用我们的结果，我们研究了真实仿射根系系统的对称封闭子集与它们产生的常规亚词法之间的对应关系。
Any symmetric closed subset of a finite crystallographic root system must be a closed subroot system. This is not, in general, true for real affine root systems. In this paper, we determine when this is true and also give a very explicit description of symmetric closed subsets of real affine root systems. At the end, using our results, we study the correspondence between symmetric closed subsets of real affine root systems and the regular subalgebras generated by them.
