Linear Algebraic Groups / by Armand Borel.
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 qu...
Saved in:
| Online Access: |
Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1991.
|
| Edition: | Second enlarged edition. |
| Series: | Graduate texts in mathematics ;
126. |
| Subjects: |
MARC
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| 100 | 1 | |a Borel, Armand. | |
| 245 | 1 | 0 | |a Linear Algebraic Groups / |c by Armand Borel. |
| 250 | |a Second enlarged edition. | ||
| 260 | |a New York, NY : |b Springer New York, |c 1991. | ||
| 300 | |a 1 online resource (xi, 290 pages) | ||
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| 490 | 1 | |a Graduate Texts in Mathematics, |x 0072-5285 ; |v 126. | |
| 505 | 0 | |a Background Material from Algebraic Geometry -- General Notions Associated with Algebraic Groups -- Homogeneous Spaces -- Solvable Groups -- Borel Subgroups; Reductive Groups -- Rationality Questions -- References -- Index of Definition -- Index of Notation. | |
| 520 | |a 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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| 650 | 0 | |a Topological groups. | |
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