Lattice chain models for affine buildings of classical type.

DOI10.1007/s002080200004zbMath1113.20028OpenAlexW2084584060MaRDI QIDQ1598181

Gabriele Nebe, Peter Abramenko

Publication date: 29 May 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080200004

zbMATH Keywords

Hermitian formsBN-pairsbuildings of classical groupslattice chainsnon-Archimedean complete skew fields

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Classical groups (11E57) Linear algebraic groups over local fields and their integers (20G25)

Related Items (19)

Ramanujan complexes and golden gates in \(PU(3)\) ⋮ Kac-Moody Geometry ⋮ One Class Genera of Lattice Chains Over Number Fields ⋮ Paramodular groups and theta series ⋮ Cuspidal irreducible complex or \(l\)-modular representations of quaternionic forms of \(p\)-adic classical groups for odd \(p\) ⋮ Submodule codes as spherical codes in buildings ⋮ Common hyperbolic bases for chains of alternating or quadratic lattices ⋮ Bolytrope orders ⋮ On the supersingular locus of the Shimura variety for GU(2,2) over a ramified prime ⋮ Local selectivity of orders in central simple algebras ⋮ CHABAUTY LIMITS OF ALGEBRAIC GROUPS ACTING ON TREES THE QUASI-SPLIT CASE ⋮ Orders that are étale-locally isomorphic ⋮ Spinor class fields for generalized Eichler orders ⋮ Basic Orders for Defect Two Blocks of ℤ_pΣ_n ⋮ A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\) ⋮ Split orders and convex polytopes in buildings ⋮ Computing S-unit groups of orders ⋮ Branches on division algebras ⋮ On the connected components of Shimura varieties for CM unitary groups in odd variables

This page was built for publication: Lattice chain models for affine buildings of classical type.