Typical Serre, concise, clean, clear.

books:


	• Linear Representations of Finite Groups (Graduate Texts in Mathematics) Jean-Pierre Serre Springer, 1996 - 170 pages average customer review:based on 1 review view larger image
	for more information click here

Typical Serre, concise, clean, clear.

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.

for more information click here

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. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. 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. Several Applications to the Artin representation are given.

for more information click here