200 citations · 244 across the 19 of their papers we have counts for
20 papers
Monk rules for type Macdonald polynomials
Tom Halverson, Arun Ram
In this paper we give Monk rules for Macdonald polynomials which are analogous to the Monk rules for Schubert polynomials. These formulas are similar to the formulas given by Barat…
Signal Processing on the Permutahedron: Tight Spectral Frames for Ranked Data Analysis
Yilin Chen, Jennifer DeJong, Tom Halverson +1
Ranked data sets, where m judges/voters specify a preference ranking of n objects/candidates, are increasingly prevalent in contexts such as political elections, computer vision, r…
Transition matrices between Young's natural and seminormal representations
Sam Armon, Tom Halverson
We derive a formula for the entries in the change-of-basis matrix between Young's seminormal and natural representations of the symmetric group. These entries are determined as sum…
Stoquastic simulations of non-stoquastic superconducting flux circuits
Harel Kol-Namer, Tom Halverson, Lalit Gupta +2
There is a tremendous interest in fabricating superconducting flux circuits that are nonstoquastic -- i.e., have positive off-diagonal matrix elements -- in their qubit representat…
Electromagnetic analogue space-times, analytically and algebraically
Sebastian Schuster, Matt Visser
While quantum field theory could more aptly be called the "quantum field framework" as it encompasses a vast variety of varying concepts and theories in comparison, relativ…
Partition Algebras and the Invariant Theory of the Symmetric Group
Georgia Benkart, Tom Halverson
The symmetric group and the partition algebra centralize one another in their actions on the -fold tensor power of th…