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 has been designed as a supplement to the author's textbook Group Theory for Physicists, also published by World Scientific. Together these two books can be used in a course on group theory for first-year graduate students in physics, especially theoretical physics. They are also suitable for some graduate students in theoretical chemistry.

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

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