紧李群的根

摘要：

本文介绍了紧李群中的根。与这个标准主题的许多其他处理方法相比，我的处理方法是相对初级的，示例驱动的，没有不必要的抽象。假设对矩阵群和极大环面有一定的了解。这篇文章是独立的，但也打算作为补充第10章的最终新版本的我的教科书，“矩阵群的本科生。''

英文摘要：

This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions. Some familiarity with matrix groups and with maximal tori is assumed. This article is self-contained, but is also intended to serve as a supplemental 10th chapter of an eventual new edition of my textbook, ``Matrix Groups for Undergraduates.''

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。