有限群表示论的历史溯源

The Historical Development of the Representation Theory of Finite Groups

有限群表示论是有限群论中最为核心和本质的内容,也是研究有限群结构的最强有力的工具之一。文章探寻有限群表示论诞生的原因,深入分析其思想起源和创立过程,进而展现有限群表示论的历史脉络和思路历程。同时,本文为代数学史的研究提供了一个新视角,通过有限群表示论的历史进程来纵观代数学的发展历史。

The representation theory of finite groups is the core and essence of the finite group theory.It is also one of the most powerful tools for studying the structure of finite groups.This paper explores the reasons behind the establishment of the representation theory of finite groups,and offers an in-depth analysis of the origin and creation of its thought process.It also shows the historical context and the process of thought.At the same time,this paper provides a new perspective on the research of the history of algebra,that is,we can value the whole history of algebra by studying the history of the representation theory of finite groups.