Representations of Linear Groups An Introduction Based on Examples from Physics and Number Theory /

• Main Author: Berndt, Rolf (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Wiesbaden : Vieweg, 2007.
• Subjects: Mathematics.; Algebra.; Group theory.; Matrix theory.; Number theory.; Linear and Multilinear Algebras, Matrix Theory.; Number Theory.; Group Theory and Generalizations.

This is an elementary introduction to the representation theory of real and complex matrix groups. The text is written for students in mathematics and physics who have a good knowledge of differential/integral calculus and linear algebra and are familiar with basic facts from algebra, number theory...

Table of Contents:

• Prologue: Some Groups and their Actions
• Basic Algebraic Concepts for Group Representations
• Representations of Finite Groups
• Continuous Representations
• Representations of Compact Groups
• Representations of Abelian Groups
• The Infinitesimal Method
• Induced Representations
• Geometric Quantization and the Orbit Method
• Epilogue: Outlook to Number Theory.