Algebraic Groups PDF Download
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Author | : J. S. Milne |
Publisher | : Cambridge University Press |
Total Pages | : 665 |
Release | : 2017-09-21 |
Genre | : Mathematics |
ISBN | : 1107167485 |
Download Algebraic Groups Book in PDF, ePub and Kindle
Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Author | : Jens Carsten Jantzen |
Publisher | : American Mathematical Soc. |
Total Pages | : 594 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 082184377X |
Download Representations of Algebraic Groups Book in PDF, ePub and Kindle
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 | : Armand Borel |
Publisher | : Springer Science & Business Media |
Total Pages | : 301 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461209412 |
Download Linear Algebraic Groups Book in PDF, ePub and Kindle
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 | : Meinolf Geck |
Publisher | : Oxford University Press |
Total Pages | : 321 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 019967616X |
Download An Introduction to Algebraic Geometry and Algebraic Groups Book in PDF, ePub and Kindle
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 | : T.A. Springer |
Publisher | : Springer Science & Business Media |
Total Pages | : 347 |
Release | : 2010-10-12 |
Genre | : Mathematics |
ISBN | : 0817648402 |
Download Linear Algebraic Groups Book in PDF, ePub and Kindle
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 | : Patrice Tauvel |
Publisher | : Springer Science & Business Media |
Total Pages | : 650 |
Release | : 2005-08-08 |
Genre | : Mathematics |
ISBN | : 3540274278 |
Download Lie Algebras and Algebraic Groups Book in PDF, ePub and Kindle
Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.
Author | : James E. Humphreys |
Publisher | : Springer Science & Business Media |
Total Pages | : 259 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468494430 |
Download Linear Algebraic Groups Book in PDF, ePub and Kindle
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 | : American Mathematical Soc. |
Total Pages | : 184 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821802887 |
Download Essays in the History of Lie Groups and Algebraic Groups Book in PDF, ePub and Kindle
Algebraic groups and Lie groups are important in most major areas of mathematics, occuring in diverse roles such as the symmetries of differential equations and as central figures in the Langlands program for number theory. In this book, Professor Borel looks at the development of the theory of Lie groups and algebraic groups, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. As the starting point of this passagefrom local to global, the author takes Lie's theory of local analytic transformation groups and Lie algebras. He then follows the globalization of the process in its two most important frameworks: (transcendental) differential geometry and algebraic geometry. Chapters II to IV are devoted to the former,Chapters V to VIII, to the latter.The essays in the first part of the book survey various proofs of the full reducibility of linear representations of $SL 2M$, the contributions H. Weyl to representation and invariant theory for Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large.The second part of the book starts with Chapter V describing the development of the theory of linear algebraic groups in the 19th century. Many of the main contributions here are due to E. Study, E. Cartan, and above all, to L. Maurer. After being abandoned for nearly 50 years, the theory was revived by Chevalley and Kolchin and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on various aspects of the works of Chevalley on Lie groupsand algebraic groups and Kolchin on algebraic groups and the Galois theory of differential fields.The author brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep appreciation of the underlying mathematics. His lifelong involvement and his historical research in the subject give him a special appreciation of the story of its development.
Author | : P. Slodowy |
Publisher | : Springer |
Total Pages | : 187 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540381910 |
Download Simple Singularities and Simple Algebraic Groups Book in PDF, ePub and Kindle
Author | : T. Kambayashi |
Publisher | : Springer |
Total Pages | : 171 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540372652 |
Download Unipotent Algebraic Groups Book in PDF, ePub and Kindle