Benjamin J. Wyser, Alexander Yong
The subgroup K=GLp×GLqK=GLp×GLq of GLp+qGLp+q acts on the (complex) flag variety GLp+q/BGLp+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 KK -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 HH -polynomials and the Kazhdan–Lusztig–Vogan polynomials.
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