群与表示基础
An Elementary Introduction to Groups and Representations
摘要：
这些笔记给出了一个基本的介绍李群，李代数，和他们的代表。旨在让数学或物理专业的研究生能够使用，它们具有最低限度的先决条件。主题包括李群和李代数的定义和例子，李群和李代数之间的关系，通过指数映射，表示理论的基础，贝克-坎贝尔-豪斯多夫公式，SU（3）表示的详细研究，以及一般半单群表示理论的简要调查。
英文摘要：
These notes give an elementary introduction to Lie groups, Lie algebras, and their representations. Designed to be accessible to graduate students in mathematics or physics, they have a minimum of prerequisites. Topics include definitions and examples of Lie groups and Lie algebras, the relationship between Lie groups and Lie algebras via the exponential mapping, the basics of representations theory, the Baker-Campbell-Hausdorff formula, a detailed study of the representations of SU(3), and a brief survey of the representation theory of general semisimple groups.
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。
