Generalized affine buildings for semisimple algebraic groups over real closed fields
Abstract
We use real algebraic geometry to construct an affine $Λ$-building $B$ associated to the $\mathbb{F}$-points of a semisimple algebraic group, where $\mathbb{F}$ is a valued real closed field. We characterize the spherical building at infinity and the local building at a base point. We compute stabilizers of various subsets of $B$ and obtain group decompositions.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Polynomial and algebraic computation
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 January 2026
- Document type
- Preprint