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Lie algebras and lie groups 1964 lectures given at Harvard University
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Serre
This book reproduces J-P Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary: Lie algebras and Lie groups". Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the ...
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Linear Representations of Finite Groups
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Jean-Pierre Serre
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 ...
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A Course in Arithmetic
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Jean-Pierre Serre
Serre's "A Course in Arithmetic" is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theorem, and modular forms. The first edition was very well accepted and is now one of the leading introductory texts on the advanced undergraduate or beginning graduate level. "...The book is ...
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Cohomologie Galoisienne
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Jean Pierre Serre
The present edition of this text summarizes the research results that have been achieved since the first edition was published 30 years ago. It also incorporates new material and an updated bibliography.
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Complex Semisimple Lie Algebras
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Jean-Pierre Serre
These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, ...
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Local Algebra - Multiplicities
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Professor Jean-Pierre Serre, C W Chin (Translator)
This is an English translation of the now classic "Algebre Locale - Multiplicites" originally published by Springer as LNM 11, in several editions since 1965. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities ("Tor-formula"). Many modifications to the ...
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Algebraic Groups and Class Fields, Translation of the French Edition
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Professor Jean-Pierre Serre
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Topics in Galois Theory
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Professor Jean-Pierre Serre
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt ...
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Galois Cohomology
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Professor Jean-Pierre Serre, Patrick D Ion (Translator)
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.
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Abelian L-Adic Representations and Elliptic Curves
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Professor Jean-Pierre Serre
This work reproduces a series of lectures held at McGill University in 1967. It presents the idele-theoretic approach to Abelian representations, particularly those that arise from the modules of ln-th division points of elliptic curves.
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Oeuvres - Collected Papers: Volume 1: 1949-1959; Volume 2: 1960-1971; Volume 3: 1972-1984
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Jean-Pierre Serre
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Local Fields
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Professor Jean-Pierre Serre, Marvin J Greenberg (Translator)
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Oeuvres - Collected Papers: Volume 2: 1960 - 1971
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Jean Pierre Serre
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 ...
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Oeuvres- Collected Papers: Volume 4: 1985-1998
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J P Serre
From the reviews of Vol. IV: "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 ...
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Corps locaux
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Jean Pierre Serre
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Alga]bre Locale, Multiplicita(c)S: Cours Au Colla]ge de France, 1957 - 1958
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by
Professor Jean-Pierre Serre, Pierre Gabriel (Revised by)
This edition reproduces the 2nd corrected printing of the 3rd edition of the now classic notes by Professor Serre, long established as one of the standard introductory texts on local algebra. Referring for background notions to Bourbaki's "Commutative Algebra" (English edition Springer-Verlag 1988), the book focusses on the various dimension ...
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Grothendieck-Serre Correspondence
by
Catriona Maclean Pierre Colmez Jean-Pierre Serre
This extraordinary volume contains a large part of the mathematical correspondence between A. Grothendieck and J.P. Serre. It forms a vivid introduction to the development of algebraic geometry during the years 1955-1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central ...
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Oeuvres - Collected Papers: Volume 1: 1949 - 1959
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Jean Pierre Serre
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 ...
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Groupes algébriques et corps de classes
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Jean Pierre Serre
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Trees
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Jean-Pierre Serre
From the reviews: "Serre's notes on groups acting on trees have appeared in various forms (all in French) over the past ten years and they have had a profound influence on the development of many areas, for example, the theory of ends of discrete groups. This fine translation is very welcome and I strongly recommend it as an introduction to an ...
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Oeuvres - Collected Papers: Volume 3: 1972 - 1984
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Jean Pierre Serre
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 ...
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Algebre Locale, Multiplicites: Cours Au College de France, 1957-1958
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Jean-Pierre Serre
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Geometry and Number Theory: A Volume in Honor of Andre Weil
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by
Professor Jean-Pierre Serre (Editor), Goro Shimura (Editor)
Articles by twenty-six leading mathematicians, all reflecting the influence of one of the seminal figures in modern mathematics, Andre Weil.
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Motives
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Jean-Pierre Serre (Editor), Steven L. Kleiman (Editor), U. Jannsen (Editor)
Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, ...
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Oeuvres - Collected Papers : 3 Vol Set : Vol 1 1949
by
Jean-Pierre Serre
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