Algebraic Groups and Number Theory
Title | Algebraic Groups and Number Theory PDF eBook |
Author | Vladimir Platonov |
Publisher | Academic Press |
Total Pages | 614 |
Release | 1993-12-07 |
Genre | Mathematics |
ISBN | 9780080874593 |
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.
Algebraic Groups
Title | Algebraic Groups PDF eBook |
Author | J. S. Milne |
Publisher | Cambridge University Press |
Total Pages | 665 |
Release | 2017-09-21 |
Genre | Mathematics |
ISBN | 1107167485 |
Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Representations of Algebraic Groups
Title | Representations of Algebraic Groups PDF eBook |
Author | Jens Carsten Jantzen |
Publisher | American Mathematical Soc. |
Total Pages | 594 |
Release | 2003 |
Genre | Mathematics |
ISBN | 082184377X |
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.
Adeles and Algebraic Groups
Title | Adeles and Algebraic Groups PDF eBook |
Author | A. Weil |
Publisher | Springer Science & Business Media |
Total Pages | 137 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1468491563 |
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.
Linear Algebraic Groups
Title | Linear Algebraic Groups PDF eBook |
Author | T.A. Springer |
Publisher | Springer Science & Business Media |
Total Pages | 334 |
Release | 2010-10-12 |
Genre | Mathematics |
ISBN | 0817648402 |
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.
Computation with Linear Algebraic Groups
Title | Computation with Linear Algebraic Groups PDF eBook |
Author | Willem Adriaan de Graaf |
Publisher | CRC Press |
Total Pages | 324 |
Release | 2017-08-07 |
Genre | Mathematics |
ISBN | 1498722911 |
Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.
An Introduction to Algebraic Geometry and Algebraic Groups
Title | An Introduction to Algebraic Geometry and Algebraic Groups PDF eBook |
Author | Meinolf Geck |
Publisher | Oxford University Press |
Total Pages | 321 |
Release | 2013-03-14 |
Genre | Mathematics |
ISBN | 019967616X |
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.