Paperback. Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra. Holistic introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Introduction to Representation Theory (Paperback)
Publisher: American Mathematical Society, Providence
Publication Date: 2011
Language: English
ISBN 10: 0821853511
ISBN 13: 9780821853511
Binding: Paperback
Condition: new

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Synopsis

Representation theory studies symmetry in linear spaces and this introduction is for graduate and advanced undergraduate students of mathematics who have a solid foundation in linear algebra and at least a smattering of abstract algebra. It covers basic notions, general results, representations of finite groups, quiver representations, categories, homological algebra, and the structure of finite dimensional algebras. Annotation �2011 Book News, Inc., Portland, OR (booknews.com)

About the Author

Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA|||Sebastian Hensel, Universitat Bonn, Germany|Tiankai Liu, Massachusetts Institute of Technology, Cambridge, MA|Alex Schwendner, Two Sigma Investments, New York, N

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