Yvette Kosmann-Schwarzbach "Groups and Symmetries: From Finite Groups to Lie Groups" Oct 2009 | English | ISBN-13: 978-0-387-78865-4 | 211 Pages | PDF | 5.24 MB...
* Material combines many branches of mathematics, of which l' algebra, geometry and l' analyzes, so that the pupils see bonds between these fields * S' applies material to chemistry and physics, so that the pupils appreciate the applications of abstract mathematics * By supposing that l' linear algebra and of tartar, which makes a subject of point accessible to the students from first cycle * Count 142 exercises, of which much with discrete keys or total solutions, if the text May being used in class or for l' self-training Contrary to many other texts, this book treats theory of the representations of the finished groups, compact groups, the linear groups of Dregs and their algebras of Dregs, concise and in only one volume. Main themes: • reviews Brisk of the basic definitions of the theory of the groups, with examples • Theory of the representations of the finished groups: theory of character • Representations of the compact groups by using the measurement of Haar • algebras of Dregs and the linear groups of Dregs • Detailed study of SO (3) and KNOWN (2), and their representations • Spherical harmonics • Representations of (3) KNOWN, roots and weight, with the theory of the quarks like a consequence of the mathematical properties of this group of symmetry This book is illustrated historical portraits and some remarks. With only linear algebra and calculation like prerequisites, Groups and symmetries: Groups finished starting from the groups of Dregs is accessible to the advanced students in mathematics and physics, and will be always d' interest at the beginning of the graduate students. Exercises for each chapter and a collection of problems with total solutions to return this text an ideal for the class and an autonomous training.
