The subgroup K = GLp× GLq of GLp+q acts on the (complex) flag variety GLp+q/B with finitely many orbits. We introduce a family of polynomials specializing representatives for cohomology classes of the orbit closures in the Borel model. We define and study K-orbit determinantal ideals to support the geometric naturality of these representatives. Using a modification of these ideals, we describe an analogy between two local singularity measures: the H-polynomials and the Kazhdan–Lusztig–Vogan polynomials.
- Cohomology class representative
- Flag variety
- Kazhdan–Luztig–Vogan polynomials
- Symmetric pair
ASJC Scopus subject areas
- Physics and Astronomy(all)