Li Qun and Hermite symmetric spaces

Author: Xu Yichao
Publisher:
Publish Date: 2001-03-01
Features: This book is one of the "Graduate Teaching Series of the Chinese Academy of Sciences." It serves as an introductory text on Lie algebras and Lie groups. The book provides a detailed exposition of the fundamentals of finite-dimensional complex Lie algebras and real Lie algebras, as well as complex Lie groups and real Lie groups. Specifically, it covers the construction and representation theories of complex semisimple Lie algebras and real semisimple Lie algebras, the basic concepts of Lie groups, and the construction and representation theories of compact Lie groups (without involving Kac-Moody Lie algebras or quantum groups). As an application, it introduces Hermitian symmetric spaces, along with their Harish-Chandra embeddings and the realization of regular Siegel domains. This book is suitable for mathematics department faculty, graduate students, and mathematicians at universities and colleges, as well as researchers in theoretical physics, chemistry, and biology.