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).
Author(s): James E. Humphreys (auth.)
Series: Graduate Texts in Mathematics 21
Edition: 1
Publisher: Springer-Verlag New York
Year: 1975
Language: English
Pages: 248
Tags: Group Theory and Generalizations
Front Matter....Pages i-xv
Algebraic Geometry....Pages 1-50
Affine Algebraic Groups....Pages 51-64
Lie Algebras....Pages 65-78
Homogeneous Spaces....Pages 79-86
Characteristic 0 Theory....Pages 87-94
Semisimple and Unipotent Elements....Pages 95-108
Solvable Groups....Pages 109-132
Borel Subgroups....Pages 133-146
Centralizers of Tori....Pages 147-162
Structure of Reductive Groups....Pages 163-187
Representations and Classification of Semisimple Groups....Pages 188-216
Survey of Rationality Properties....Pages 217-227
Back Matter....Pages 229-247
