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)
"synopsis" may belong to another edition of this title.
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
Review
Add to this the sets of problems included in the book, replete with occasional hints and estimates of the degree of difficulty, as well as the wonderful 'Historical Interludes' by Slava Gerovitch, and the result is a fantastic little book. I think it is bound to become the way to get into this subject 'holistically.' --MAA Reviews
The book gives a concise introduction to various aspects of representation theory. It is an interesting addition to the existing literature on the subject. --Mathematical Reviews
This charming book ... the material in the book is quite modern, the unifying theme being the representation theory of associative algebras, and the presentation is very accessible. ...It is a truly wonderful achievement. The book is well-written, sportingly paced, and brims with mathematical elegance: the prose is clear and tight and the proofs are compact and pretty. --MAA Reviews
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Introduction to Representation Theory (Student Mathematical Library, 59)
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Amer Mathematical Society, 2011
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Introduction to Representation Theory (Student Mathematical Library, 59)
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Introduction to Representation Theory (Student Mathematical Library, 59)
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Introduction to Representation Theory
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Paperback. Condition: New. 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. Seller Inventory # LU-9780821853511
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Introduction to Representation Theory (Paperback)
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American Mathematical Society, Providence, 2011
ISBN 10: 0821853511
ISBN 13: 9780821853511
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Paperback. Condition: new. 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. Seller Inventory # 9780821853511
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Introduction to Representation Theory (Student Mathematical Library)
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American Mathematical Society, 2011
ISBN 10: 0821853511
ISBN 13: 9780821853511
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Condition: New. Holistic introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras. Series: Student Mathematical Library. Num Pages: 228 pages, Illustrations. BIC Classification: PBF. Category: (G) General (US: Trade). Dimension: 215 x 143 x 13. Weight in Grams: 288. . 2011. Paperback. . . . . Seller Inventory # V9780821853511
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Introduction to Representation Theory (Student Mathematical Library, 59)
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Introduction to Representation Theory
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Introduction to Representation Theory (Student Mathematical Library)
Published by
American Mathematical Society, 2011
ISBN 10: 0821853511
ISBN 13: 9780821853511
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Condition: New. Holistic introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras. Series: Student Mathematical Library. Num Pages: 228 pages, Illustrations. BIC Classification: PBF. Category: (G) General (US: Trade). Dimension: 215 x 143 x 13. Weight in Grams: 288. . 2011. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821853511