Bruhat Order for Two Flags and a Line

@inproceedings{Magyar2004BruhatOF,
  title={Bruhat Order for Two Flags and a Line},
  author={P{\'e}ter Magyar},
  year={2004}
}
The classical Ehresmann-Bruhat order describes the possible degenerations of a pair of flags in a linear space V under linear transformations of V ; or equivalently, it describes the closure of an orbit of GL(V ) acting diagonally on the product of two flag varieties. We consider the degenerations of a triple consisting of two flags and a line, or equivalently the closure of an orbit of GL(V ) acting diagonally on the product of two flag varieties and a projective space. We give a simple rank… CONTINUE READING