8 citations · 16 across the 12 of their papers we have counts for
4 papers · 1 filter
Vertices in multiplicative eigenvalue problem for arbitrary groups
Prakash Belkale, Joshua Kiers
We determine, in an inductive framework, the vertices of the polytope controlling the conjugacy classes of elements which product to one in the maximal compact subgroup $K…
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…
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…
Extremal rays in the Hermitian eigenvalue problem for arbitrary types
Prakash Belkale, Joshua Kiers
The Hermitian eigenvalue problem asks for the possible eigenvalues of a sum of Hermitian matrices given the eigenvalues of the summands. This is a problem about the Lie algebra of…