Lie Algebras and Lie Groups: 1964 Lectures Given at Harvard University (Grundlehren der Mathematischen Wissenschaften (Springer))

Jean-Pierre Serre

Springer

In these volumes, a reader will find all of John Tate's published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.

Collected Works of John Tate: 1976-2006 Part 2

Barry Mazur

American Mathematical Society

Grothendieck-Serre Correspondence (English and French Edition)

Science & Math

Pierre Colmez

Mathematics

American Mathematical Society, Société Mathématique de France

Finite group theory is a topic remarkable for the simplicity of its statements and the difficulty of their proofs. It is used in an essential way in several branches of mathematics -- for instance, in number theory. 
This book is a short introduction to the subject, written both for beginners and for mathematicians at large. There are ten chapters: Preliminaries, Sylow theory, Solvable groups and nilpotent groups, Group extensions, Hall subgroups, Frobenius groups, Transfer, Characters, Finite subgroups of GLn, and Small groups. 
Each chapter is followed by a series of exercises. 
[This edition (Surveys of Modern Mathematics, vol. 10) is the preliminary, paperback edition of Finite Groups: An Introduction.]

Finite Groups: An Introduction (vol. 10 of the Surveys of Modern Mathematics book series)

International Press of Boston

Cohomologie Galoisienne: Cours au College de France, 1962 - 1963 (Lecture Notes in Mathematics) (French Edition)

Reference

Foreign Language Study & Reference

From the reviews of Vols. I-III: "Since their publication in 1986 J-P. Serre's Collected Papers have already become one of the classical references in mathematical research. This is on the one hand due to the completeness of the collection (132 items) and on the other, of course, due to the beautiful and clear expositions of Serre's papers and their influence on mathematics. As listed in the preface, the three volumes cover almost all articles published in mathematical journals between 1949 and 1984, the summaries of the author's courses at the Collège de France since 1956, some of his Séminaire notes, and some items not previously published. [...]   The author's notes at the end of each volume giving corrections and important recent progress as well as improvements of the main results represent a highlight of this collection. The mathematical community definitely looks forward to further volume(s) of Serre's outstanding work." Zentralblatt MATH

Oeuvres - Collected Papers: Volume 3: 1972 - 1984 (French and English Edition)

The impact and influence of J.-P. Serre´s work have been notable ever since his doctoral thesis on homotopy groups. The abundance of findings and deep insights found in his research and survey papers ranging from topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching.Characteristic of Serre´s publications are the many open questions he formulates pointing to further directions for research. In four volumes of Collected Papers he has provided comments on and corrections to most articles, and described the current status of the open questions with reference to later findings.In this softcover edition of volume IV, two recently published articles have been added, one on the life and works of André Weil, the other one on Finite Subgroups of Lie Groups.From the reviews:"This is the fourth volume of J-P. Serre's Collected Papers covering the period 1985-1998. Items, numbered 133-173, contain "the essence'' of his work from that period and are devoted to number theory, algebraic geometry, and group theory. Half of them are articles and another half are summaries of his courses in those years and letters. Most courses have never been previously published, nor proofs of the announced results. The letters reproduced, however (in particular to K. Ribet and M.-F. Vignéras), provide indications of some of those proofs. Also included is an interview with J-P. Serre from 1986, revealing his views on mathematics (with the stress upon its integrity) and his own mathematical activity. The volume ends with Notes which complete the text by reporting recent progress and occasionally correct it.Zentralblatt MATH

Oeuvres - Collected Papers IV: 1985 - 1998 (English and French Edition)

Springer, Verlag

This is an updated English translation of "Cohomologie Galoisienne", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.

Galois Cohomology

A course in arithmetic (Graduate texts in mathematics)

A translation from the French "Groupes Algebriques et Corps de Classes". The author, who also wrote "Galois Cohomology", presents local class field theory from the cohomological point of view.

Algebraic Groups and Class Fields (Graduate Texts in Mathematics)

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Books by Jean-Pierre Serre