The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / [electronic resource] Michael Kapovich, Bernhard Leeb, John J. Millson.

By: Kapovich, Michael, 1963-
Contributor(s): Leeb, Bernhard | Millson, John J. (John James), 1946-
Material type: TextTextSeries: Memoirs of the American Mathematical Society, v. 896Publisher: Providence, R.I. : American Mathematical Society, c2008Description: 1 online resource (vii, 83 p. : ill.)ISBN: 9781470405021 (online)Subject(s): Semisimple Lie groups | Linear algebraic groups | Geometric group theory | Lorentz groups | Symmetric spaces | Rings (Algebra)Additional physical formats: generalized triangle inequalities in symmetric spaces and buildings with applications to algebra /DDC classification: 510 s | 512/.482 LOC classification: QA387 | .K375 2008Online resources: Contents
Contents:
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
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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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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