二维不定空间中一类扩张群的分类

CLASSIFICATION OF EXTENSION GROUPS IN 2-D INDEFINITE REAL VECTOR SPACE

设V是二维不定型实向量空间 ,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 2 dimensional indefinite real vector space. W is the infinite Weyl group of an irreducible root system. In the present paper we will classify a class of extension group of W up to conjugation in the affine group A(V).