Representation Theory of Finite Groups

An Introductory Approach

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Representation Theory of Finite Groups by Benjamin Steinberg, Springer New York
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Author: Benjamin Steinberg ISBN: 9781461407768
Publisher: Springer New York Publication: October 23, 2011
Imprint: Springer Language: English
Author: Benjamin Steinberg
ISBN: 9781461407768
Publisher: Springer New York
Publication: October 23, 2011
Imprint: Springer
Language: English

This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.

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This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.

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