The theory of group representations is an elegant subject at the intersectionof algebra, geometry, and analysis, with applications to crystallography and the physics of atomic and subatomic particles. This book is an introduction toboth the theory and applications of group representations. The author lends coherence to this vast subject by focusing on the connections between group representations and the study of symmetry. The book begins with a brisk review ofthe basic definitions and fundamental results of group theory. Definitions are illustrated with examples important to the study of symmetry. With only linear algebra and calculus as prerequisites, this book will be accessible to bothadvanced undergraduates and beginning graduate students. An extensive collection of exercises, many with answers or complete solutions, makes this an idealtext for the classroom or independent study. Combines material from many branches of mathematics, including algebra, geometry, and analysis, so students see connections between these areas Applies material to chemistry and physics, so students appreciate the applications of abstract mathematics Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates INDICE: Introduction.- General Facts about Groups.- Representations of Finite Groups.- Representations of Compact Groups.- Lie algebras and Lie groups.-Lie groups SU(2) and SO(3).- Representation of SU(2) and SO(3).- Spherical Harmonics.- Representations of SU(3) and Quarks.- Problems and Solutions.- Bibliography.- Index.
- ISBN: 978-0-387-78865-4
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 220
- Fecha Publicación: 01/07/2009
- Nº Volúmenes: 1
- Idioma: Inglés
- Inicio /
- MATEMÁTICAS /
- ÁLGEBRA