8 papers
Extremal rays of the equivariant Littlewood-Richardson cone
Joshua Kiers
We give an inductive procedure for finding the extremal rays of the equivariant Littlewood-Richardson cone, which is closely related to the solution space to S. Friedland's majoriz…
Weyl's problem: A computational approach
Isaac Bowser, Ken Kiers, Erica Mitchell +1
The distribution of eigenvalues of the wave equation in a bounded domain is known as Weyl's problem. We describe several computational projects related to the cumulative state numb…
Vertices of Intersection Polytopes and Rays of Generalized Kostka Cones
Marc Besson, Sam Jeralds, Joshua Kiers
Let be the rational cone generated by pairs where and are dominant integral weights and is a nontrivial weight space in the representation $V_…
Extremal rays of the embedded subgroup saturation cone
Joshua Kiers
We examine the extremal rays of the cone of dominant weights for groups for which there exists such that $$ \left(V(Nμ)\otimes V(N…
Multiplicity in root components via Geometric Satake
Marc Besson, Sam Jeralds, Joshua Kiers
In this note we explicitly construct top-dimensional components of the cyclic convolution varieties. These components correspond (via the geometric Satake equivalence) to irreducib…
A proof of the refined PRV conjecture via the cyclic convolution variety
Joshua Kiers
In this brief note we illustrate the utility of the geometric Satake correspondence by employing the cyclic convolution variety to give a simple proof of the Parthasarathy-Ranga Ra…