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Linear Algebraic Groupsby James Humphreys
Synopses & Reviews
James E. Humphreys is a distinguished Professor of Mathematics at the University of Massachusetts at Amherst. He has previously held posts at the University of Oregon and New York University. His main research interests include group theory and Lie algebras, and this graduate level text is an exceptionally well-written introduction to everything about linear algebraic groups.
Table of Contents
I: Algebraic Geometry. II: Affine Algebraic Groups. III: Lie Algebras. IV: Homogeneous Spaces. V: Characteristic 0 Theory. VI: Semisimple and Unipotent Elements. VII: Solvable Groups. VIII: Borel Subgroups. IX: Centralizers of Tori. X: Structure of Reductive Groups. XI: Representations and Classification of Semisimple Groups. Survey of Rationality Properties.
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