Representation Theory of Finite Groups: An Introductory Approach Benjamin Steinberg is an English-language textbook focused on group representation theory. This book deals with the basic principles of the representation theory of finite groups and is intended for students in higher education.
The content is tailored to a clear and accessible introduction to group representation theory, with an emphasis on minimal prior knowledge of linear algebra, group theory, and elementary ring theory. Complex topics such as module theory, Wedderburn theory, and tensor products are avoided, and instead an approach via discrete Fourier analysis is used. Applications to the spectral theory of graphs illustrate the practical value of the theory. The book also includes a series of exercises.
This textbook is suitable for a third- or fourth-year bachelor course or a beginner's master course in representation theory. It is also suitable as a reference work for professionals in various mathematical and statistical disciplines.
In terms of subject matter, it aligns with fields such as algebra and mathematics in general.
Series: Universitext