无限维欧氏空间中空间群的分类

CLASSIFICATION OF SPACE GROUPS IN AN INFINITE DIMENTIONAL EUCLIDEAN SPACE

设V是可数的无限维欧氏空间 ,W是V中某个不可约根系的无限Weyl群 ,在仿射群A(V)中共轭的意义下 。

Let V be a countable dimensional Euclidean space, W is an infinite Weyl group of an irreducible root system. The classification of all space groups with the point groups being W up to conjugation in the affine group A(V) is given.