Linear algebraic groups (Graduate texts in mathematics) - Hardcover

Borel, Armand

Hardcover

ISBN 10: 3540973702 ISBN 13: 9783540973706

Publisher: Springer-Verlag, 1991

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. This textbook on rings, fields and algebras, groups and generalizations is intended for graduate students in mathematics.

Edition details

• Publisher: Springer-Verlag
• Publication date: 1991
• ISBN 10: 3540973702
• ISBN 13: 9783540973706
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 288