Li Qun Lecture Notes

Author: Xiang Wuyi
Publisher:
Publish Date: 2003-04-01
Features: The basic approach to studying modern mathematics is first to select the essential aspects of the subject being studied, then to abstract them appropriately, and then to assign a natural structure to the resulting abstract system, organizing it into a mathematical model. This book primarily discusses the fundamental theory of Lie groups and their applications. The book is divided into six chapters, covering the following topics: invariant integrals and compact group representation theory, the linearization of Lie group structures—Lie algebras, the geometry of adjoint transformations, the structure and classification of compact connected Lie groups, the structure and classification of complex semisimple Lie algebras, real semisimple Lie algebras and symmetric spaces, etc.