华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (5/6): 54-62,7.

• 数学 统计学 • 上一篇    下一篇

由2阶反射生成的本原复反射群的单根系

王丽   

  1. 华东师范大学数学系, 上海 200062
  • 收稿日期:2004-09-24 修回日期:2005-04-12 出版日期:2005-12-31 发布日期:2005-12-31
  • 通讯作者: 王丽

Simple Root Systems For Certain Primitive Reflection Groups(Chinese)

WANG Li   

  1. Department of Mathematics, East China Normal Normal University 200062, China
  • Received:2004-09-24 Revised:2005-04-12 Online:2005-12-31 Published:2005-12-31
  • Contact: WANG Li

摘要： 在有限复反射群的所有单根系构成的集合上, 时俭益{[1,1.7]}定义了一个等价关系， 并给出了群G12,G24的所有不等价单根系.本文给出了群G13,G22,G27,G29,G31,G33的所有不等价的单根系.

关键词: 根系, 单根系, 等价的单根系, 复反射群, 根系, 单根系, 等价的单根系, 复反射群

Abstract: In [1, 1.7], Shi defined an equivalent relation on the set of all simple root systems of a finite complex reflection group G. Shi also gave all non-equivalent simple root systems of G with G ∈{G12, G24}. In this paper, we found all the non-equivalent simple root systems of G with G ∈{G13,G22,G27,G29,G31,G33}.

Key words: simple root system, equivalent simple root systems, complex reflection group, root system, simple root system, equivalent simple root systems, complex reflection group

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