Polynomials for GLₚ x GLq orbit closures in the flag variety
Wyser, Benjamin J. · Yong, Alexander
Original · EN
The subgroup K=GLₚ x GLq of GLₚ₊q acts on the (complex) flag variety GLₚ₊q/B with finitely many orbits. We introduce a family of polynomials that specializes to 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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.