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Author : J. S. Milne
Release : 2017-09-21
Genre : Mathematics
Kind : eBook
Book Rating : 485/5 ( reviews)
Book Synopsis Algebraic Groups by : J. S. Milne
Download or read book Algebraic Groups written by J. S. Milne. This book was released on 2017-09-21. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.
Author : Jens Carsten Jantzen
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 77X/5 ( reviews)
Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen
Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: 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
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 412/5 ( reviews)
Book Synopsis Linear Algebraic Groups by : Armand Borel
Download or read book Linear Algebraic Groups written by Armand Borel. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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
Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 16X/5 ( reviews)
Book Synopsis An Introduction to Algebraic Geometry and Algebraic Groups by : Meinolf Geck
Download or read book An Introduction to Algebraic Geometry and Algebraic Groups written by Meinolf Geck. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Patrice Tauvel
Release : 2005-08-08
Genre : Mathematics
Kind : eBook
Book Rating : 278/5 ( reviews)
Book Synopsis Lie Algebras and Algebraic Groups by : Patrice Tauvel
Download or read book Lie Algebras and Algebraic Groups written by Patrice Tauvel. This book was released on 2005-08-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.
