The study of finite rational matrix groups reduces to the investigation of the maximal finite irreducible matrix groups and their natural lattices, which often turn out to have rather beautiful geometric and arithmetic properties. This book presents a full classification in dime…
"Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie group…
"Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie group…
Fundamental concepts -- Matrix representations of discrete groups -- Molecular vibrations -- Crystalline solids -- Bohr's quantum theory and matrix mechanics -- Wave mechanics, measurement, and entanglement -- Rotation -- Quantum angular momentum -- The structure of atoms -- Par…