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Linear Algebraic Groups

  • Textbook
  • © 1975

Overview

Authors:
  1. James E. Humphreys

    1. University of Massachusetts, Amherst, USA

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 21)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Algebraic Geometry

    • James E. Humphreys
    Pages 1-50

  3. Affine Algebraic Groups

    • James E. Humphreys
    Pages 51-64

  4. Lie Algebras

    • James E. Humphreys
    Pages 65-78

  5. Homogeneous Spaces

    • James E. Humphreys
    Pages 79-86

  6. Characteristic 0 Theory

    • James E. Humphreys
    Pages 87-94

  7. Semisimple and Unipotent Elements

    • James E. Humphreys
    Pages 95-108

  8. Solvable Groups

    • James E. Humphreys
    Pages 109-132

  9. Borel Subgroups

    • James E. Humphreys
    Pages 133-146

  10. Centralizers of Tori

    • James E. Humphreys
    Pages 147-162

  11. Structure of Reductive Groups

    • James E. Humphreys
    Pages 163-187

  12. Representations and Classification of Semisimple Groups

    • James E. Humphreys
    Pages 188-216

  13. Survey of Rationality Properties

    • James E. Humphreys
    Pages 217-227

  14. Back Matter

    Pages 229-247
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Keywords

About this book

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).

Reviews

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

Authors and Affiliations

  • University of Massachusetts, Amherst, USA

    James E. Humphreys

Bibliographic Information

  • Book Title: Linear Algebraic Groups

  • Authors: James E. Humphreys

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4684-9443-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1975

  • Hardcover ISBN: 978-0-387-90108-4Published: 13 May 1975

  • Softcover ISBN: 978-1-4684-9445-7Published: 22 June 2012

  • eBook ISBN: 978-1-4684-9443-3Published: 06 December 2012

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XVI, 248

  • Topics: Group Theory and Generalizations

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