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Almost commuting elements in compact Lie groups


About this Title

Armand Borel, Robert Friedman and John W. Morgan

Publication: Memoirs of the American Mathematical Society
Publication Year 2002: Volume 157, Number 747
ISBNs: 978-0-8218-2792-5 (print); 978-1-4704-0340-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0747
MathSciNet review: 1895253
MSC (2000): Primary 22C05; Secondary 17B20, 22E46, 57R20, 58J28

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Almost commuting -tuples
  • 3. Some characterizations of groups of type
  • 4. -pairs
  • 5. Commuting triples
  • 6. Some results on diagram automorphisms and associated root systems
  • 7. The fixed subgroup of an automorphism
  • 8. -triples
  • 9. The tori and and their Weyl groups
  • 10. The Chern-Simons invariant
  • 11. The case when is not cyclic