[PDF] Endomorphisms Of Linear Algebraic Groups eBook

Author : T.A. Springer
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 36,58 MB
Release : 2010-10-12
Category : Mathematics
ISBN : 0817648402

GET BOOK

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 : Gunter Malle
Publisher : Cambridge University Press
Page : 324 pages
File Size : 29,5 MB
Release : 2011-09-08
Category : Mathematics
ISBN : 113949953X

GET BOOK

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

Author : Armand Borel
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 35,98 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461209412

GET BOOK

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 : Richard S. Elman
Publisher : American Mathematical Soc.
Page : 215 pages
File Size : 28,4 MB
Release : 1993
Category : Mathematics
ISBN : 0821851616

GET BOOK

* Brings together a wide variety of themes under a single unifying perspective The proceedings of a conference on Linear algebraic Groups and their Representations - the text gets to grips with the fundamental nature of this subject and its interaction with a wide variety of active areas in mathematics and physics.

Author : J. S. Milne
Publisher : Cambridge University Press
Page : 665 pages
File Size : 50,91 MB
Release : 2017-09-21
Category : Mathematics
ISBN : 1107167485

GET BOOK

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

Author : A.N. Parshin
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 14,82 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 366203073X

GET BOOK

Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.