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Linear Representations of Finite Groups (Graduate Texts in Mathematics) (v. 42) [Hardcover]

Jean-Pierre Serre , Leonhard L. Scott
3.8 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

September 1, 1977 0387901906 978-0387901909 1st ed. 1977. Corr. 5th printing
This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l’Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory.

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Linear Representations of Finite Groups (Graduate Texts in Mathematics) (v. 42) + Representation Theory: A First Course (Graduate Texts in Mathematics / Readings in Mathematics)
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Editorial Reviews

Review

From the reviews: "Serre’s book gives a fine introduction to representations for various audiences . . . As always with Serre, the exposition is clear and elegant, and the exercises contain a great deal of valuable information that is otherwise hard to find . . . it is highly recommended for specialists and nonspecialists alike." (Bulletin Of The American Mathematical Society)

Language Notes

Text: English (translation)
Original Language: French

Product Details

  • Hardcover: 182 pages
  • Publisher: Springer; 1st ed. 1977. Corr. 5th printing edition (September 1, 1977)
  • Language: English
  • ISBN-10: 0387901906
  • ISBN-13: 978-0387901909
  • Product Dimensions: 6 x 0.5 x 9 inches
  • Shipping Weight: 14.4 ounces (View shipping rates and policies)
  • Average Customer Review: 3.8 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #946,159 in Books (See Top 100 in Books)

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Customer Reviews

3.8 out of 5 stars
(4)
3.8 out of 5 stars
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Most Helpful Customer Reviews
31 of 34 people found the following review helpful
5.0 out of 5 stars Typical Serre, concise, clean, clear. October 27, 1996
By A Customer
Format:Hardcover
This is a an excellent introduction to the subject. The book really breaks into 3 distinct parts. The first 5 chapters are a rapid introduction to the basics, similar to what one would get from any indroductory text. They are most notable for actually going through the details on D_n, S_n cyclic groups...
The second section (chapters 6-13) gives a more graduate level presentation of the material. Starting with a discussion of group algebras, moving onto inducted representations Artin's theorem (the existence of virtual characters)
The third section is Brauer Theory.

The book is by Serre so it goes without saying it one of the best if not the best book on the market. His failure to deal with the additional complexities of the infinite group case (which he indicates in the title) is a small problem. He could have spent at least 1 chapter addressing how the results of the book could be extended. The index of notation is a fantastic asset for a subject where notation plays such a large role.
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5.0 out of 5 stars Good Buy November 27, 2012
Format:Hardcover|Amazon Verified Purchase
Book came on time in near-perfect condition. I suspect it hadn't been opened. Potentially a source for books bought on recommendation and never used...anyway; the system works. I got the book.
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3 of 12 people found the following review helpful
2.0 out of 5 stars I warn you off this one May 19, 2011
Format:Hardcover|Amazon Verified Purchase
Jean-Pierre Serre is a famous fellow: that is why I bought his book.
I have as contrast a book by Willem Brouwer and one by Coexter which are clean
concise and useful. If you can get the Coexter and Moser classic:Generators and Relations for Discrete Groups (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) ,also found under ISBN-10: 0387092129.
Both versions are out of print.Representation Theory of Finite Groups has the virtue of being cheap and available and somewhat more readable than the Serre book. The Brouwer book of tables is a Rice university press book from the library without a ISBN and isn't listed at amazon.
The French method of presenting Math goes back to the Nicolas Bourbaki books that were written by groups
of people and are "formally correct", but just not how you want to teach math.
Unless you already have a PH.D. in group theory, try something cheaper and easier to start.
There are a lot of books on the theory of representations of groups, but none are very easy.
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