Linear Algebraic Groups - Couverture souple

Borel, Armand

Couverture souple

ISBN 10 : 1461269547 ISBN 13 : 9781461269540

Editeur : Springer, 2012

Synopsis

<p>This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.</p>

A propos du livre

À propos de l'auteur

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.

À propos de la quatrième de couverture

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 1461269547
• ISBN 13: 9781461269540
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 318
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne