\input zb-basic
\input zb-ioport
\iteman{io-port 05696954}
\itemau{Brenti, Francesco}
\itemti{Enumerative properties of shifted-Dyck partitions.}
\itemso{J. Comb. Theory, Ser. A 117, No. 3, 223-235 (2010).}
\itemab
Summary: 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.
\itemrv{~}
\itemcc{}
\itemut{shifted partition; ballot sequence; Kazhdan-Lusztig polynomial}
\itemli{doi:10.1016/j.jcta.2009.05.004}
\end