Application of Group Theory Guide

Author: Zhang Duanning
Publisher:
Publish Date: 2001-01-01
Features: Introduction to the Application of Group Theory This book systematically introduces the fundamentals of group theory, the general principles of representation theory for finite groups and Lie groups, the basic concepts and concrete representations of semisimple Lie algebras, as well as the local and global properties of semisimple Lie groups. It also focuses on the applications of permutation groups, space point groups, Lie groups, and others in crystal structures, quantum mechanics, nuclear physics, particle physics, and engineering technologies. The book generally introduces the main topics by starting with real-world problems, accompanied by numerous examples and exercises, most of which include hints to facilitate reader comprehension and self-study. In terms of methodology, the book emphasizes practical approaches. It strives to elucidate the scientific implications of modern algebra, topology, and manifolds inherent in modern group theory, while reflecting the latest achievements in group theory and its applications as much as possible. This book serves as an excellent graduate textbook for students in physics, chemistry, biology, applied mathematics, and related engineering disciplines. It is also a valuable reference for science and technology professionals in these fields.