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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
About this Title
Michael Kapovich, Bernhard Leeb and John J. Millson
Publication: Memoirs of the American Mathematical Society
Publication Year:
2008; Volume 192, Number 896
ISBNs: 978-0-8218-4054-2 (print); 978-1-4704-0502-1 (online)
DOI: https://doi.org/10.1090/memo/0896
MathSciNet review: 2369545
MSC: Primary 22E46; Secondary 14L24, 20E42, 20G15
Table of Contents
Chapters
- 1. Introduction
- 2. Roots and Coxeter groups
- 3. The first three algebra problems and the parameter spaces $\Sigma$ for $K\backslash \bar {G}/K$
- 4. The existence of polygonal linkages and solutions to the algebra problems
- 5. Weighted configurations, stability and the relation to polygons
- 6. Polygons in Euclidean buildings and the generalized invariant factor problem
- 7. The existence of fixed vertices in buildings and computation of the saturation factors for reductive groups
- 8. The comparison of Problems Q3 and Q4