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Linear Algebraic Groups : Undergraduate Texts in Mathematics - Armand Borel

Linear Algebraic Groups

Undergraduate Texts in Mathematics

Hardcover Published: April 1991
ISBN: 9780387973708
Number Of Pages: 290

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This book is a revised and enlarged edition of "Linear Algebraic Groups," published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs.

Background Material from Algebraic Geometry
General Notions Associated with Algebraic Groups
Homogeneous Spaces
Solvable Groups
Borel Subgroups; Reductive Groups
Rationality Questions
Index of Definition
Index of Notation
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387973708
ISBN-10: 0387973702
Series: Undergraduate Texts in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 290
Published: April 1991
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.08 x 16.41  x 2.24
Weight (kg): 0.57
Edition Number: 2
Edition Type: Revised

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