Symmetries in Physics

Andreas Wipf conducted research at the Dublin Institute for Advanced Studies, Los Alamos National Laboratory, Max Planck Institute for Physics, and ETH Zurich. Since 1995, he has been a professor of quantum theory at Friedrich Schiller University in Jena. His main areas of work are quantum field theory, symmetries and symmetry breaking, supersymmetry, and lattice field theories.

• Preface.- Abbreviations.- Introduction.- Elements of Group Theory.- Homomorphisms, Subgroups, and Classes.- Finite Groups.- Space-Time Symmetries.- Point Groups.- Space Groups and Crystals.- Lie Groups.- Invariant Integration.- Representations of Groups.- Characters and Schur's Lemma.- Irreducible Representations of Lie Groups.- Theory of Lie Algebras.- Lie Algebras of Lie Groups.- Root Systems and Cartan Classification.- Representations of Lie Algebras.- Symmetries in Quantum Mechanics.- Symmetries in Relativistic QM.- Relativistic Field Theories.- Gauge Theories.- Conformal Field Theories.- Index.