Groups and Symmetries

A former student of the École Normale Supérieure, Yvette Kosmann-Schwarzbach holds a Doctorat d’État in mathematics as well as a degree in physics from the University of Paris. She has been a professor of mathematics at the University of Lille, at Brooklyn College of the City University of New York, and most recently at the École Polytechnique (France). She has organized numerous conferences, and has held visiting positions and lectured on four continents. The author of the forthcoming historical study, The Noether Theorems. Invariance and Conservation Laws in the Twentieth Century (Sources and Studies in the History of Mathematics and Physical Sciences), she has published some 70 research articles in differential geometry, algebra and mathematical physics, and has also co-edited The Verdier Memorial Conference on Integrable Systems (Progress in Mathematics), Integrability of Nonlinear Systems (Lecture Notes in Physics) and Discrete Integrable Systems (Lecture Notes in Physics).

General Facts About Groups.- Representations of Finite Groups.- Representations of Compact Groups.- Lie Groups and Lie Algebras.- Lie Groups SU(2) and SO(3).- Representations of SU(2) and SO(3).- Spherical Harmonics.- Representations of SU(3) and Quarks.