An Introduction to Topological Groups: 15 (London Mathematical Society Lecture Note Series)

Book Details:

• Publisher: Cambridge University Press

• Author: Higgins, P. J.

• Language: English

• ISBN: 9780521205276

• Pages: 120

• Cover: Paperback

• Dimensions: 8.8 x 6.0 x 0.5 inches

About The Book:

Introduction to Topological Groups and the Haar Integral by P. J. Higgins provides graduate students with an essential introduction to topological groups and the Haar integral, concepts that are crucial for understanding advanced topics in many branches of mathematics. This book assumes only a basic understanding of elementary group theory, making it accessible to students from various fields of mathematics.

Based on lecture courses given for the London M.Sc. degree in 1969 and 1972, the text is more algebraic than typical treatments, reflecting the author's approach and the interests of his audience. The book covers the fundamental theorems that students are most likely to encounter in their studies, with a focus on clarity and applicability.

The volume concludes with an informal discussion of one important application of the Haar integral, specifically its role in the representation theory of compact groups. It also includes suggestions for further reading on this topic and similar subjects, providing a foundation for continued exploration.

With its clear and concise presentation, this book serves as an excellent resource for anyone seeking to deepen their understanding of topological groups and the Haar integral, especially for students preparing for research in mathematics.