Reducibility of finite reflection groups  

作　　者：YU JianMing JIANG GuangFeng 

机构地区：[1]Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, China [2]Department of Mathematics and Information Science, Faculty of Sciences, Beijing University of Chemical Technology, Beijing 100029, China

出　　处：《Science China Mathematics》2012年第5期947-960,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No. 11071010)

摘　　要：A finite (pseudo-)reflection group G naturally gives rise to a hyperplane arrangement,i.e.,its reflection arrangement.We show that G is reducible if and only if its reflection arrangement is reducible.A finite （pseudo-）reflection group G naturally gives rise to a hyperplane arrangement,i.e.,its reflection arrangement.We show that G is reducible if and only if its reflection arrangement is reducible.

关 键 词：reflection groups hyperplane arrangement REDUCIBILITY 

分 类 号：O435.1[机械工程—光学工程] TQ113.247[理学—光学]