由2阶反射生成的本原复反射群的单根系

Simple Root Systems For Certain Primitive Reflection Groups

在有限复反射群的所有单根系构成的集合上,时俭益定义了一个等价关系,并给出了群G_(12),G_(24)的所有不等价单根系．本文给出了群G_(13),G_(22),G_(27),G_(29),G_(31),G_(33)的所有不等价的单根系．

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∈{G_(12),G(24)}. In this paper, We found all the non-equivalent simple root systems of G with G∈{G_(13),G_(22), G_(27),G_(29), G_(31),G_(33)}.