Representation theory (Lecture Notes, ETH Zürich)

✍ Scribed by Kowalski, E.

• Year: 2013
• Tongue: English
• Leaves: 328
• Category: Library

✦ Synopsis

This book is intended to provide a basic introduction to some of the fundamental ideas and results of representation theory. In this preliminary chapter, we start with some motivating remarks and provide a general overview of the rest of the text; we also include some notes on the prerequisites –which are not uniform for all parts of the notes– and discuss the basic notation that we use.

✦ Table of Contents

1. Introduction and motivation; 2. The language of representation theory; 3. Variants; 4. Linear representations of finite groups; 5. Abstract representation theory of compact groups; 6. Applications of representations of compact groups; 7. Other groups: a few examples; A. Some useful facts.