四维不定空间中晶体群的分类

Classification of crystallographic groups in the 4-dimentional indefinite space

设 V是四维不定空间 ,W是 V中某个不可约根系的无限 Weyl群 ,本文给出了点群为 W的晶体群在仿射群 A(V)

Let V be a 4-dimensional indefinite space, W is the infinite Weyl group of an irreducible root system. This paper classifies all crystallographic groups associated with W up to conjugation in the affine group A(V).