Metric building exercises

DOI10.1016/S0019-3577(01)80018-5zbMath1009.20036MaRDI QIDQ1605101

Guy Rousseau

Publication date: 11 July 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

hyperbolic spacesfixed point setsnonpositive curvatureisometriesEuclidean buildingsCAT(0) inequalitytranslation distances

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Buildings and the geometry of diagrams (51E24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Groups with a (BN)-pair; buildings (20E42)

Related Items (8)

Metric Properties of Euclidean Buildings ⋮ Chimney retractions in affine buildings encode orbits in affine flag varieties ⋮ Affine buildings: construction by norms and study of isometries ⋮ Coarse equivalences of Euclidean buildings. (With an appendix by Jeroen Schillewaert and Koen Struyve.) ⋮ Cell decomposition of some unitary group Rapoport-Zink spaces ⋮ A finiteness theorem in the Bruhat-Tits building: an application of Landvogt's embedding theorem ⋮ On the displacement function of isometries of Euclidean buildings ⋮ Cristaux et immeubles

Cites Work

• A finiteness theorem in the Bruhat-Tits building: an application of Landvogt's embedding theorem
• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Buildings of spherical type and finite BN-pairs
• Instability in invariant theory
• Reductive groups over a local field
• Some functional properties of the Bruhat-Tits building
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