通过不变子群的诱导表示构造有限群的不可约表示

Constructing irreducible representations of a finite group using induced representations of its invariant subgroups

本文介绍一种通过不变子群的诱导表示构造有限群所有不等价不可约表示的方法,并将其应用于第一类晶体点群特征标表的求解.该方法具有系统性和简捷性,可以作为目前教材上求点群不可约表示方法的一种补充.

This paper introduces a method of constructing all inequivalent irreducible representations of a finite group using induced representations of its invariant subgroups,and applies it to the solution of the character table of the first kind of crystal point groups.This method is systematic and simple,and can be used as a supplement to the method of solving irreducible representation of the point groups in current textbooks.