Linear Algebraic Groups by Armand Borel

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 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.

Armand Borel (21 May 1923 11 August 2003) was a Swiss mathematician, born in La Chaux-de-Fonds, and served as a professor at the Institute for Advanced Study in Princeton, New Jersey, United States from 1957 to 1993. From 1983 to 1986 he also served as a professor at the ETH Zurich. He primarily worked on algebraic topology and on the theory of Lie groups, and was one of the founders of the contemporary theory of linear algebraic groups. In 1992 he was awarded the Balzan Prize in recognition of his contributions to the field.

SKU	Unavailable
ISBN 13	9781461269540
ISBN 10	1461269547
Title	Linear Algebraic Groups
Author	Armand Borel
Series	Graduate Texts In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag New York Inc.
Year published	2012-09-30
Number of pages	290
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable