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Endomorphisms of linear algebraic groups


About this Title

Robert Steinberg

Publication: Memoirs of the American Mathematical Society
Publication Year 1968: Number 80
ISBNs: 978-0-8218-1280-8 (print); 978-1-4704-0029-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0080
MathSciNet review: 0230728

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Table of Contents


Chapters

  • 0. Introduction
  • 1. Preliminaries on reflection groups
  • 2. The series in the finite case
  • 3. The affine case
  • 4. Reflection groups, lattices and tori
  • 5. The transition to algebraic tori
  • 6. Structure of algebraic groups
  • 7. Endomorphisms of algebraic groups
  • 8. A basic theorem on connectedness
  • 9. Extensions of 8.2
  • 10. Automorphisms versus finiteness
  • 11. The classical finite simple groups
  • 12. Topology of $G_\sigma $
  • 13. About representations
  • 14. Semisimple classes and maximal tori
  • 15. Unipotent elements