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“Abstract” homomorphisms of split Kac-Moody groups


About this Title

Pierre-Emmanuel Caprace

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 198, Number 924
ISBNs: 978-0-8218-4258-4 (print); 978-1-4704-0530-4 (online)
DOI: http://dx.doi.org/10.1090/memo/0924
MathSciNet review: 2499773
MSC (2000): Primary 20G44; Secondary 20E42, 20F55, 20F65, 51E24

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Table of Contents


Chapters

  • Introduction
  • Acknowledgements
  • Chapter 1. The objects: Kac-Moody groups, root data and Tits buildings
  • Chapter 2. Basic tools from geometric group theory
  • Chapter 3. Kac-Moody groups and algebraic groups
  • Chapter 4. Isomorphisms of Kac-Moody groups: an overview
  • Chapter 5. Isomorphisms of Kac-Moody groups in characteristic zero
  • Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic
  • Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups
  • Chapter 8. Unitary forms of Kac-Moody groups