Robert Steinberg's Lectures on Chevalley Groups were delivered and written during the author's sabbatical visit to Yale University in the 1967-1968 academic year. The work presents the status of the theory of Chevalley groups as it was in the mid-1960s. Much of this material was instrumental in many areas of mathematics, in particular in the theory of algebraic groups and in the subsequent classification of finite groups. This posthumous edition incorporates additions and corrections prepared by the author during his retirement, including a new introductory chapter. A bibliography and editorial notes have also been added.
Author(s): Robert Steinberg
Series: University Lecture (Book 66)
Publisher: American Mathematical Society
Year: 2016
Language: English
Commentary: decrypted from 2FD015C06A9DCA09CEB84B0ADF373FA7 source file
Pages: 160
Cover
Title page
Contents
Foreword
Acknowledgement
Preface
Chapter 0. Introduction
Chapter 1. A basis for \calL
Chapter 2. A basis for \calU
Chapter 3. The Chevalley Groups
Chapter 4. Simplicity of ?
Chapter 5. Chevalley Groups and Algebraic Groups
Chapter 6. Generators and Relations
Chapter 7. Central Extensions
Chapter 8. Variants of the Bruhat Lemma
Chapter 9. The Orders of the Finite Chevalley Groups
Chapter 10. Isomorphisms and Automorphisms
Chapter 11. Some Twisted Groups
Chapter 12. Representations
Chapter 13. Representations Continued
Chapter 14. Representations Completed
Appendix on Finite Reflection Groups
I. Preliminaries
II. The Function ?
III. A Fundamental Domain for ?
IV. Generators and relations for ?
V. Appendix
Bibliography
Index
Back Cover
