TY  - BOOK
AU  - Kapovich,Michael
AU  - Leeb,Bernhard
AU  - Millson,John J.
TI  - The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470405021 (online)
AV  - QA387 .K375 2008
U1  - 510 s512/.482 22
PY  - 2008///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Semisimple Lie groups
KW  - Linear algebraic groups
KW  - Geometric group theory
KW  - Lorentz groups
KW  - Symmetric spaces
KW  - Rings (Algebra)
N1  - Includes bibliographical references (p. 82-83); 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0896
UR  - http://dx.doi.org/10.1090/memo/0896
ER  -