The behaviour at infinity of the Bruhat decomposition
The behaviour at infinity of the Bruhat decomposition
For a connected reductive group G and a Borel subgroup B, we study the closures of double classes BgB in a (G \times G) -equivariant "regular" compactification of G. We show that these closures \overline {BgB} intersect properly all (G \times G) -orbits, with multiplicity one, and we describe the …