Synopses & Reviews
James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include group theory and Lie algebras. He graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received hi Ph.D. from Yale University if 1966. In 1972, Springer-Verlag published his first book, "Introduction to Lie Algebras and Representation Theory" (graduate Texts in Mathematics Vol. 9).
Review
J.E. Humphreys Linear Algebraic Groups "Exceptionally well-written and ideally suited either for independent reading or as a graduate level text for an introduction to everything about linear algebraic groups."--MATHEMATICAL REVIEWS
Review
J.E. Humphreys
Linear Algebraic Groups
"Exceptionally well-written and ideally suited either for independent reading or as a graduate level text for an introduction to everything about linear algebraic groups."--MATHEMATICAL REVIEWS
Synopsis
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.