✦ LIBER ✦

Linear algebraic groups

✍ Scribed by Armand Borel

Book ID: 127418431
Publisher: Springer
Year: 1991
Tongue: English
Weight: 6 MB
Series: Graduate texts in mathematics 126
Edition: 2nd
Category: Library
ISBN: 0387973702

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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