 In "n"-dimensional Euclidean space the same questions can be posed, for example about SO(n)\SL"n"(R)/SL"n"(Z).This is harder to compactify.There are a variety of compactifications, such as the Borel–Serre compactification, the reductive Borel-Serre compactification, and the Satake compactifications, that can be formed.