3-维不定空间中晶体群的分类

Classification of Crystallographic Groups in the 3-Dimentional Indefinite Space

中文关键词:  晶体群  无限Weyl群  共轭类

英文关键词:crystallographic group  infinite weyl group  conjugate classes.

中文摘要:

      设V是3-维不定空间,W是V中某个不可约根系的无限Weyl群,本文在仿射群A(V)中共轭的意义下,给出了点群为W的晶体群的分类。

英文摘要:

      Let V be a 3-dimensional indefinite space, W the infinite Weyl group of an irreducible root system. In the present paper we will classify all crystallographic groups associated with W up to conjugation in the affine group A(.V) .