This textbook contains a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation. This enables the author to give not only an abstract description of the representations but also their realizations in function spaces, which is important for physical applications. As an example, the theory ofLaplace spherical functions is treated. Some basic ideas of the representation theory of Lie groups are also given, as well as all the representations of the groups SU2 and SO3. The book contains numerous examples and exercises, some with solutions. Brief, modern and very readable introduction to representation theory of groups. Clear and concentrating on the essentials. Provides numerous examples and exercises, some with solutions. INDICE: Preface. Introduction. 0. Basic Notions. I. General Properties of Representations. II. Representations of Finite Groups. III. Representations ofCompact Groups. IV. Representations of Lie Groups. Appendices.
- ISBN: 978-3-0348-0062-4
- Editorial: Springer Basel
- Encuadernacion: Rústica
- Páginas: 146
- Fecha Publicación: 02/12/2010
- Nº Volúmenes: 1
- Idioma: Inglés
- Inicio /
- MATEMÁTICAS /
- ÁLGEBRA