Affine buildings: construction by norms and study of isometries

DOI10.2140/iig.2023.20.471zbMath1526.20047OpenAlexW4386698718MaRDI QIDQ6060087

Anne Parreau

Publication date: 2 November 2023

Published in: Innovations in Incidence Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/iig.2023.20.471

zbMATH Keywords

affine buildingsBruhat-Tits building

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

• Valuations, trees, and degenerations of hyperbolic structures. I
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Metric building exercises
• The space of p-adic norms
• Reductive groups over a local field
• Groupes et algébras de Lie
• Schémas en groupes et immeubles des groupes classiques sur un corps local
• Elementary expressions for unimodular matrices
• On the semisimplicity of polyhedral isometries
• The word and Riemannian metrics on lattices of semisimple groups
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