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Author: Vladimir Platonov Publisher: Academic Press ISBN: 0080874592 Category : Mathematics Languages : en Pages : 629
Book Description
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
Author: Vladimir Platonov Publisher: Academic Press ISBN: 0080874592 Category : Mathematics Languages : en Pages : 629
Book Description
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
Author: Vladimir Platonov Publisher: Academic Press ISBN: 9780125581806 Category : Mathematics Languages : en Pages : 614
Book Description
This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.
Author: J. S. Milne Publisher: Cambridge University Press ISBN: 1107167485 Category : Mathematics Languages : en Pages : 665
Book Description
Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Author: T.A. Springer Publisher: Springer Science & Business Media ISBN: 0817648402 Category : Mathematics Languages : en Pages : 347
Book Description
The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups.
Author: A. Weil Publisher: Springer Science & Business Media ISBN: 1468491563 Category : Mathematics Languages : en Pages : 137
Book Description
This volume contains the original lecture notes presented by A. Weil in which the concept of adeles was first introduced, in conjunction with various aspects of C.L. Siegel’s work on quadratic forms. Serving as an introduction to the subject, these notes may also provide stimulation for further research.
Author: Meinolf Geck Publisher: Oxford University Press ISBN: 019967616X Category : Mathematics Languages : en Pages : 321
Book Description
An accessible text introducing algebraic groups at advanced undergraduate and early graduate level, this book covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups with a BN-pair, Frobenius maps on affine varieties and algebraic groups, zeta functions and Lefschetz numbers for varieties over finite fields.
Author: Jens Carsten Jantzen Publisher: American Mathematical Soc. ISBN: 082184377X Category : Mathematics Languages : en Pages : 594
Book Description
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Author: James E. Humphreys Publisher: Springer Science & Business Media ISBN: 1468494430 Category : Mathematics Languages : en Pages : 259
Book Description
James E. Humphreys is a distinguished Professor of Mathematics at the University of Massachusetts at Amherst. He has previously held posts at the University of Oregon and New York University. His main research interests include group theory and Lie algebras, and this graduate level text is an exceptionally well-written introduction to everything about linear algebraic groups.
Author: Armand Borel Publisher: Springer Science & Business Media ISBN: 1461209412 Category : Mathematics Languages : en Pages : 301
Book Description
This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.
Author: Vladimir Platonov
Author: Vladimir Platonov
Author: Vladimir Petrovich Platonov
Author: Vladimir Platonov
Author: J. S. Milne
Author: T.A. Springer
Author: A. Weil
Author: Meinolf Geck
Author: Jens Carsten Jantzen
Author: James E. Humphreys
Author: Armand Borel