generalizedSchubertVariety -- create a generalized Schubert variety

Synopsis

• Usage:

  Y = generalizedSchubertVariety(X,pt)

• Inputs:
  • X, a GKM variety, obtained by generalizedFlagVariety
  • pt, a thing, an element in X.points
• Outputs:
  • Y, a GKM variety, the generalized Schubert variety corresponding to pt which is the union of all Bruhat cells corresponding to elements in X.points that are bigger than pt in the Bruhat order

Description

i1 : X = generalizedSchubertVariety(generalizedFlagVariety("A",3,{2}),{set{0,3}})

o1 = a "GKM variety" with an action of a 4-dimensional torus

o1 : GKMVariety

See also

• bruhatOrder -- computes the Bruhat order on a generalized flag variety
• generalizedFlagVariety -- makes a generalized flag variety as a GKM variety