12 citations · 94 across the 39 of their papers we have counts for
6 papers · 1 filter
Separable elements and splittings of Weyl groups
Christian Gaetz, Yibo Gao
We continue the study of separable elements in finite Weyl groups. These elements generalize the well-studied class of separable permutations. We show that the multiplication map $…
Principal specializations of Schubert polynomials and pattern containment
Yibo Gao
We show that the principal specialization of the Schubert polynomial at is bounded below by where is the number of occurrences of the patter…
Arithmetic of weighted Catalan numbers
Yibo Gao, Andrew Gu
In this paper, we study arithmetic properties of weighted Catalan numbers. Previously, Postnikov and Sagan found conditions under which the -adic valuations of the weighted Cata…
Separable elements in Weyl groups
Christian Gaetz, Yibo Gao
We define the notion of a separable element in a finite Weyl group, generalizing the well-studied class of separable permutations. We prove that the upper and lower order ideals in…
Padded Schubert polynomials and weighted enumeration of Bruhat chains
Christian Gaetz, Yibo Gao
We prove a common generalization of the fact that the weighted number of maximal chains in the strong Bruhat order on the symmetric group is for both the code weig…
On the Sperner property for the absolute order on complex reflection groups
Christian Gaetz, Yibo Gao
Two partial orders on a reflection group, the codimension order and the prefix order, are together called the absolute order when they agree. We show that in this case the absolute…