12 citations · 94 across the 39 of their papers we have counts for
4 papers · 1 filter
The Canonical Bijection Between Pipe Dreams and Bumpless Pipe Dreams
Yibo Gao, Daoji Huang
We present a direct bijection between reduced pipe dreams and reduced bumpless pipe dreams by interpreting reduced compatible sequences on bumpless pipe dreams and show that this b…
Diameters of graphs of reduced words and rank-two root subsystems
Christian Gaetz, Yibo Gao
We study the diameter of the graph of reduced words of an element in a Coxeter group whose edges correspond to applications of the Coxeter relations. We resolve conj…
Classification of Levi-spherical Schubert varieties
Yibo Gao, Reuven Hodges, Alexander Yong
A Schubert variety in the complete flag manifold is Levi-spherical if the action of a Borel subgroup in a Levi subgroup of a standard parabolic has a dense orbit. We give…
Minimal elements for the limit weak order on affine Weyl groups
Christian Gaetz, Yibo Gao
The limit weak order on an affine Weyl group was introduced by Lam and Pylyavskyy in their study of total positivity for loop groups. They showed that in the case of the affine sym…