Representation Theory of Finite Groups : An Introductory Approach
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The work Representation Theory of Finite Groups : An Introductory Approach represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Representation Theory of Finite Groups : An Introductory Approach
Resource Information
The work Representation Theory of Finite Groups : An Introductory Approach represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Representation Theory of Finite Groups : An Introductory Approach
 Title remainder
 An Introductory Approach
 Statement of responsibility
 by Benjamin Steinberg
 Language

 eng
 eng
 Summary
 Representation Theory of Finite Groups presents group representation theory at a level accessible to advanced undergraduate students and beginning graduate students. The required background is maintained to the level of linear algebra, group theory, and very basic ring theory and avoids prerequisites in analysis and topology by dealing exclusively with finite groups. Module theory and Wedderburn theory, as well as tensor products, are deliberately omitted. Instead, an approach based on discrete Fourier Analysis is taken, thereby demanding less background from the reader. The main topics covered in this text include character theory, the group algebra and Fourier analysis, Burnside's pqtheorem and the dimension theorem, permutation representations, induced representations and Mackey's theorem, and the representation theory of the symmetric group. For those students who have an elementary knowledge of probability and statistics, a chapter on random walks on finite groups serves as an illustration to link finite stochastics and representation theory. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject and the author provides motivation and a gentle style throughout the text. A number of exercises add greater dimension to the understanding of the subject and some aspects of a combinatorial nature are clearly shown in diagrams. This text will engage a broad readership due to the significance of representation theory in diverse branches of mathematics, engineering, and physics, to name a few. Its primary intended use is as a one semester textbook for a third or fourth year undergraduate course or an introductory graduate course on group representation theory. The content can also be of use as a reference to researchers in all areas of mathematics, statistics, and several mathematical sciences
 Dewey number
 512/.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 TGygJF3Tec0
 Language note
 English
 LC call number
 QA174183
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Universitext,
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