Abstract
We study the enumerative properties of a new class of (skew) shifted partitions. This class arises in the computation of certain parabolic Kazhdan–Lusztig polynomials and is closely related to ballot sequences. As consequences of our results, we obtain new identities for the parabolic Kazhdan–Lusztig polynomials of Hermitian symmetric pairs and for the ordinary Kazhdan–Lusztig polynomials of certain Weyl groups.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have