Synopsis
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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Synopsis
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. Annotati
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Linear Algebraic Groups. Second Enlarged Edition (Graduate Texts in Mathematics)
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Linear Algebraic Groups (Graduate Texts in Mathematics, 126)
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