6 papers
Equations for GL invariant families of polynomials
Paul Breiding, Christian Ikenmeyer, Mateusz Michałek +1
We provide an algorithm that takes as an input a given parametric family of homogeneous polynomials, which is invariant under the action of the general linear group, and an integer…
Approximate counting of standard set-valued tableaux
Reuven Hodges, Gidon Orelowitz
We present a randomized algorithm for generating standard set-valued tableaux by extending the Green-Nijenhuis-Wilf hook walk algorithm. In the case of asymptotically rank two part…
Multiplicity-free skew Schur polynomials
Shiliang Gao, Reuven Hodges, Gidon Orelowitz
We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are , and , characters of the skew Schur modules…
A classification of spherical Schubert varieties in the Grassmannian
Reuven Hodges, Venkatramani Lakshmibai
Let be a Levi subgroup of which acts by left multiplication on a Schubert variety in the Grassmannian . We say that is a spherical Schubert variet…
Toroidal Schubert Varieties
Mahir Bilen Can, Reuven Hodges, Venkatramani Lakshmibai
Levi subgroup actions on Schubert varieties are studied. In the case of partial flag varieties, the horospherical actions are determined. This leads to a characterization of the to…
Sphericality and Smoothness of Schubert Varieties
Mahir Bilen Can, Reuven Hodges
We consider the action of the Levi subgroup of a parabolic subgroup that stabilizes a Schubert variety. We show that a smooth Schubert variety is a homogeneous space for a paraboli…