Linear Algebraic Groups

Borel, Armand

ISBN 10: 3540973702 / ISBN 13: 9783540973706

Published by Springer Berlin, 1991

Zustand: Sehr gut | Seiten: 288 | Sprache: Deutsch | Produktart: Bücher | Keine Beschreibung verfügbar. Seller Inventory # 155941/202

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.

Bibliographic Details

Title: Linear Algebraic Groups
Publisher: Springer Berlin
Publication Date: 1991
Binding: Hardcover
Condition: Sehr gut
Edition: 2nd Edition