Linear Representations of Finite Groups (Graduate Texts in Mathematics, 42) by Jean-Pierre Serre (PDF)

Description

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.

User’s Reviews

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)

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Very useful and readable. I finished the first part and used a corollary for my research result.

⭐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 cleanconcise and useful. If you can get the Coexter and Moser classic:

⭐,also found under ISBN-10: 0387092129.Both versions are out of print.

⭐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 groupsof 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.

⭐Began using the book in a self directed reading course on Representation Theory. The book is very unclear, choosing not to state theorems clearly but rather stating them in a way that requires context of all the reading up until that point. A lot of times variables aren’t made explicit, and notation is very cumbersome and overall the topics aren’t organized in a very clear way (It’s not clear what this is building up to).If the book were re-written with problems first, then explanations, and then proofs behind the theory, it would force him to make his terminology incredibly precise and clear infinitely improving the book.I’m sure Serre is a genius but this book doesn’t reflect a great deal of pedagogical sensibility.

⭐The author is one of best mathematicians of 20th century, but the book is very bad – it is complete waste of time and money. Buy Rotman instead or any good graduate algebra book.

⭐Grundlagen für das Erarbeiten von Finiten Gruppen.Nahezu fehlerfrei – aber welches “Mathebuch” hat keine kleinen Fehlerchen.Mathematische Symbole nicht immer einheitlich, bzw. international gewählt – aber das kann man sich leicht erschließen, was gemeint sein muss.Empfehlenswert für Studenten der Mathematik.

⭐

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