1. Linear transformations -- 2. Theory of matrix transformations -- 3. Elements of abstract group theory -- 4. Unitary and orthogonal groups -- 5. Point groups of finite order -- 6. Theory of group representations -- 7. Construction of symmetry-adapted linear combinations based on the correspondence theorem -- 8. Subduced and Induced representations -- 9. Elements of continuous groups -- 10. Representations of the rotation group -- 11. Single- and double-valued representations of point groups -- 12. Projective representations -- 13. 230 space groups -- 14. Representations of the space groups -- 15. Applications of unirreps of space groups to energy bands and vibrational modes of crystals
Summary
"This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using an approach pioneered and developed by the author. The symmetry groups and their representations are worked out explicitly, eliminating the unduly abstract nature of group theoretical methods."--BOOK JACKET. "This work will be a of great interest to graduate students and professionals in solid state physics, chemistry mathematics and geology and to those who are interested in magnetic crystal structures."--Jacket
Bibliography
Includes bibliographical references (pages 483-486) and index
