Cover image for Linear algebraic groups
Title:
Linear algebraic groups
Personal Author:
Series:
Graduate texts in mathematics;
Publication Information:
New York : Springer Verlag, 1975
ISBN:
9780387901084

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30000001647423 QA171 H83 1975 Open Access Book Book
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Summary

Summary

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).


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