Building (mathematics)
In mathematics, a building (also Tits building, Bruhat–Tits building, named after François Bruhat and Jacques Tits) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces. Initially introduced by Jacques Tits as a means to understand the structure of exceptional groups of Lie type, the theory has also been used 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.
Read more about Building (mathematics): Overview, Definition, Elementary Properties, Connection With BN Pairs, Spherical and Affine Buildings For SLn, Classification, Applications
Famous quotes containing the word building:
“And of the other things death is a new office building filled with modern furniture,
A wise thing, but which has no purpose for us.”
—John Ashbery (b. 1927)