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Linear Algebraic Groups by Armand Borel — book cover

Linear Algebraic Groups

by Armand Borel
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Overview

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.

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Editorials

Booknews

A textbook for graduate students with at least some knowledge of Lie algebras and algebraic geometry. Introduces the theory of linear algebraic groups over fields. The first edition (1969) has been out of print for many years. The new edition expands some discussions, corrects errors, and substitutes clearer examples for some earlier ones. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Book Details

Published
December 31, 2012
Publisher
Springer-Verlag New York, LLC
Pages
301
Format
Paperback
ISBN
9781461269540

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