The Structure of Affine Buildings. (AM-168)
From MaRDI portal
Publication:3532874
DOI10.1515/9781400829057zbMath1166.51001OpenAlexW2251685755MaRDI QIDQ3532874
Publication date: 29 October 2008
Full work available at URL: https://doi.org/10.1515/9781400829057
affine buildingBruhat-Tits buildingspherical buildingroot datumMoufang propertyBruhat-Tits pairlocally finite Bruhat-Tits building
Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Research exposition (monographs, survey articles) pertaining to geometry (51-02) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
Related Items (36)
Rigidity at infinity of trees and Euclidean buildings ⋮ Shadows in the wild - folded galleries and their applications ⋮ Metric Properties of Euclidean Buildings ⋮ Freudenthal triple systems in arbitrary characteristic ⋮ Differential equations and Lie group representations ⋮ Tits polygons ⋮ On the Geometry of Global Function Fields, the Riemann–Roch Theorem, and Finiteness Properties of S-Arithmetic Groups ⋮ Descent of affine buildings - I. Large minimal angles ⋮ Descent of affine buildings - II. Minimal angle $\pi /3$ and exceptional quadrangles ⋮ Tits endomorphisms and buildings of type F_4 ⋮ Receding polar regions of a spherical building and the center conjecture. ⋮ Book review of: B. Mühlherr et al., Descent in buildings ⋮ On panel-regular \(\tilde{A}_2\) lattices ⋮ The Σ-invariants of 𝑆-arithmetic subgroups of Borel groups ⋮ A (very short) introduction to buildings ⋮ Proper proximality in non-positive curvature ⋮ Logahoric Higgs torsors for a complex reductive group ⋮ Higher finiteness properties of reductive arithmetic groups in positive characteristic: the rank theorem. ⋮ An indiscrete Bieberbach theorem: from amenable \(\mathrm{CAT}(0)\) groups to Tits buildings ⋮ Isometries of wall-connected twin buildings ⋮ Exceptional groups of relative rank one and Galois involutions of Tits quadrangles ⋮ A geometric construction of panel-regular lattices for buildings of types \(\widetilde A_2\) and \(\widetilde C_2\). ⋮ The exceptional Tits quadrangles ⋮ On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow ⋮ The extremal symmetry of arithmetic simplicial complexes ⋮ Coarse equivalences of Euclidean buildings. (With an appendix by Jeroen Schillewaert and Koen Struyve.) ⋮ CHABAUTY LIMITS OF ALGEBRAIC GROUPS ACTING ON TREES THE QUASI-SPLIT CASE ⋮ Recovering the Lie algebra from its extremal geometry ⋮ Compact totally disconnected Moufang buildings. ⋮ Rational discrete cohomology for totally disconnected locally compact groups ⋮ Intrinsic reflections in Coxeter systems ⋮ Regular sequences and random walks in affine buildings ⋮ Some remarks on proper actions, proper metric spaces, and buildings ⋮ Open subgroups of the automorphism group of a right-angled building ⋮ A topological characterization of the Moufang property for compact polygons ⋮ Bruhat-Tits Buildings and Analytic Geometry
This page was built for publication: The Structure of Affine Buildings. (AM-168)
