Use this tag for questions about combinatorial and geometric structures (buildings) that generalize simultaneously certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces.
A Bruhat–Tits building is a combinatorial and geometric structure that generalizes simultaneously certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces.
Bruhat–Tits theory has been used to understand the structure of exceptional groups of Lie type and to study the geometry and topology of homogeneous spaces of p-adic Lie groups and their discrete subgroups of symmetries in the same way that trees have been used to study free groups.