Kapovich, Michael, 1963-
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / [electronic resource] Michael Kapovich, Bernhard Leeb, John J. Millson. - Providence, R.I. : American Mathematical Society, c2008. - 1 online resource (vii, 83 p. : ill.) - Memoirs of the American Mathematical Society, v. 896 0065-9266 (print); 1947-6221 (online); .
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 $K\backslash \bar /K$ 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
Mode of access : World Wide Web
9781470405021 (online)
Semisimple Lie groups.
Linear algebraic groups.
Geometric group theory.
Lorentz groups.
Symmetric spaces.
Rings (Algebra)
QA387 / .K375 2008
510 s 512/.482
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / [electronic resource] Michael Kapovich, Bernhard Leeb, John J. Millson. - Providence, R.I. : American Mathematical Society, c2008. - 1 online resource (vii, 83 p. : ill.) - Memoirs of the American Mathematical Society, v. 896 0065-9266 (print); 1947-6221 (online); .
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 $K\backslash \bar /K$ 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
Mode of access : World Wide Web
9781470405021 (online)
Semisimple Lie groups.
Linear algebraic groups.
Geometric group theory.
Lorentz groups.
Symmetric spaces.
Rings (Algebra)
QA387 / .K375 2008
510 s 512/.482