The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, Second Edition (Graduate Texts in Mathematics) | 
 enlarge | Author: Bruce E. Sagan
Publisher: Springer
Category: Book
List Price: $54.95
Buy New: $37.99
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New (22) Used (11) from $36.61
Rating:  4 reviews
Sales Rank: 292653
Media: Hardcover
Edition: 2nd
Pages: 264
Number Of Items: 1
Shipping Weight (lbs): 1.1
Dimensions (in): 9.3 x 6.1 x 0.7
ISBN: 0387950672
Dewey Decimal Number: 512.2
EAN: 9780387950679
Publication Date: April 20, 2001
Availability: Usually ships in 1-2 business days
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Condition: Brand new, may have remainder mark or slight shelfware
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Product Description
This text is an introduction to the representation theory of the symmetric group from three different points of view: via general representation theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. The style of presentation is relaxed yet rigorous and the prerequisites have been kept to a minimum-undergraduate courses in linear algebra and group theory will suffice.
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| Customer Reviews:
Good introduction for representation theory. March 25, 2000
Kenei SUZUKI (Tokyo,Japan)
6 out of 7 found this review helpful
This book has 4 chapters.Chapter1 is about general theory of representations of finite group.Chapter2 is about representation of symmetric groups.chapter3 and 4 are about combinatorial topics and symmetric functions. Though I haven't read all of the book,I highly recommand this book because this book shows us introductive part of representation theory with easy words.I think it is worth to read for all who are to begin the study of representation theory.
Worth the price just for the first chapter February 7, 2007
Peter J. Curry (Charleston, SC)
2 out of 2 found this review helpful
Sagans book makes representation theory easy. The book first covers representations using modules and then choosing a basis to show the matrix approach. With every new topic he develops it using what Doron Zeilberger has dubbed the Gelfand Principle ([...]) The principle is: "Always chooses the smallest example to make a point". It isn't easy to find the smallest example when Sn grows as quickly as it does, but Sagen always manages to do it.
The ensuing chapters follow in the same vein. Ideas are introduced and explained, sometimes with pictures, sometimes with calculations, but always as clearly as can be.
To read this book does require a firm grounding in linear algebra, as well as abstract algebra. Time reading it is time well spent.
Good introduction for representation theory. March 25, 2000
Kenei SUZUKI (Tokyo,Japan)
5 out of 11 found this review helpful
This book has 4 chapters.Chapter1 is about general theory of representations of finite group.Chapter2 is about representation of symmetric groups.chapter3 and 4 are about combinatorial topics and symmetric functions. Though I haven't read all of the book,I highly recommand this book because this book shows us introductive part of representation theory with easy words.I think it is worth to read for all who are to begin the study of representation theory.
 Near Perfect April 6, 2003
Ross Mortensen (Kingston, Queensland Australia)
9 out of 9 found this review helpful
This book is excellent. The material is presented clearly and concisely. It makes the subject matter accessible and interesting. I used it as the text for a one-semester graduate subject. I completed all of the exercises, so it is well-paced for this kind of study. I started with only an introductory knowledge of group theory, so it is self-contained. The only drawback is that there are no solutions to any of the exercises. If it had this, it would be a perfect bok.
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