Linear algebraic groups (Graduate texts in mathematics)

Borel, Armand

ISBN 10: 3540973702 / ISBN 13: 9783540973706

Published by Springer-Verlag, 1991

About this Item

Very Good. Dust Jacket may NOT BE INCLUDED.CDs may be missing. SHIPS FROM MULTIPLE LOCATIONS.

Seller Inventory # ERICA82935409737024

Bibliographic Details

• Title: Linear algebraic groups (Graduate texts in mathematics)
• Publisher: Springer-Verlag
• Publication Date: 1991
• Language: English
• ISBN 10: 3540973702
• ISBN 13: 9783540973706
• Binding: hardcover
• Edition: 2nd Edition
• Condition: Very Good
• Dust Jacket Condition: Dust Jacket Included
• Book Type: book

About this title

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.