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)
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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
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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