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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: https://doi.org/10.1090/memo/0747
MathSciNet review: 1895253
MSC: Primary 22C05; Secondary 17B20, 22E46, 57R20, 58J28

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Table of Contents

Chapters

• 1. Introduction
• 2. Almost commuting $N$-tuples
• 3. Some characterizations of groups of type $A$
• 4. $c$-pairs
• 5. Commuting triples
• 6. Some results on diagram automorphisms and associated root systems
• 7. The fixed subgroup of an automorphism
• 8. $C$-triples
• 9. The tori $\bar {S}(k)$ and $\bar {S}^{w_C}(\bar {\mathbf {g}},k)$ and their Weyl groups
• 10. The Chern-Simons invariant
• 11. The case when $\langle C\rangle$ is not cyclic