21 citations · 267 across the 50 of their papers we have counts for
7 papers · 1 filter
Rigged configurations and the -involution for generalized Kac--Moody algebras
Ben Salisbury, Travis Scrimshaw
We construct a uniform model for highest weight crystals and for generalized Kac--Moody algebras using rigged configurations. We also show an explicit description of th…
The regularity of almost-commuting partial Grothendieck--Springer resolutions and parabolic analogs of Calogero--Moser varieties
Mee Seong Im, Travis Scrimshaw
Consider the moment map for a parabolic subalgebra of . We prove that…
Multiline queues with spectral parameters
Erik Aas, Darij Grinberg, Travis Scrimshaw
Using the description of multiline queues as functions on words, we introduce the notion of a spectral weight of a word by defining a new weighting on multiline queues. We show tha…
On higher level Kirillov--Reshetikhin crystals, Demazure crystals, and related uniform models
Cristian Lenart, Travis Scrimshaw
We show that a tensor product of nonexceptional type Kirillov--Reshetikhin (KR) crystals is isomorphic to a direct sum of Demazure crystals; we do this in the mixed level case and…
Crystal structures for symmetric Grothendieck polynomials
Cara Monical, Oliver Pechenik, Travis Scrimshaw
The symmetric Grothendieck polynomials representing Schubert classes in the -theory of Grassmannians are generating functions for semistandard set-valued tableaux. We construct…
Identities from representation theory
Se-jin Oh, Travis Scrimshaw
We give a new Jacobi--Trudi-type formula for characters of finite-dimensional irreducible representations in type using characters of the fundamental representations and non-…
Categorical relations between Langlands dual quantum affine algebras: Exceptional cases
Se-jin Oh, Travis Scrimshaw
We first compute the denominator formulas for quantum affine algebras of all exceptional types. Then we prove the isomorphisms among Grothendieck rings of categories $(…