21 citations · 267 across the 50 of their papers we have counts for
5 papers · 1 filter
Hall-Littlewood polynomials and a Hecke action on ordered set partitions
Jia Huang, Brendon Rhoades, Travis Scrimshaw
We construct an action of the Hecke algebra on a quotient of the polynomial ring , where . The dimension of our quotient ring is the…
Virtual Crystals and Nakajima Monomials
Ben Salisbury, Travis Scrimshaw
An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified…
Rigged configuration bijection and proof of the conjecture for nonexceptional affine types
Masato Okado, Anne Schilling, Travis Scrimshaw
We establish a bijection between rigged configurations and highest weight elements of a tensor product of Kirillov-Reshetikhin crystals for all nonexceptional types. A key idea for…
A uniform approach to soliton cellular automata using rigged configurations
Xuan Liu, Travis Scrimshaw
For soliton cellular automata, we give a uniform description and proofs of the solitons, the scattering rule of two solitons, and the phase shift using rigged configurations in a n…
Uniform description of the rigged configuration bijection
Travis Scrimshaw
We give a uniform description of the bijection from rigged configurations to tensor products of Kirillov--Reshetikhin crystals of the form in dua…