This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory.
The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
Sample Chapter(s)
Chapter 1: Review on Linear Algebras (470 KB)
Contents:
- Review on Linear Algebras
- Group and Its Subsets
- Theory of Representations
- Three-Dimensional Rotation Group
- Symmetry of Crystals
- Permutation Groups
- Lie Groups and Lie Algebras
- Unitary Groups
- Real Orthogonal Groups
- The Symplectic Groups
Readership: Graduate students and young researchers in physics.
“The authors present an interesting book explaining group theory in terms of physics, closing an often observed gap in the literature between abstract mathematical theory and physical applications … It is self-contained as much as is possible. Many examples and exercises, including solutions, allow the reader to become more familiar with the subject.”
Mathematical Reviews