21 citations · 267 across the 50 of their papers we have counts for
8 papers · 1 filter
Simplicity of tensor products of Kirillov--Reshetikhin modules: nonexceptional affine and G types
Se-jin Oh, Travis Scrimshaw
We show the denominator formulas for the normalized -matrix involving two arbitrary Kirillov--Reshetikhin (KR) modules and in all nonexceptional…
Colored five-vertex models and Lascoux polynomials and atoms
Valentin Buciumas, Travis Scrimshaw, Katherine Weber
We construct an integrable colored five-vertex model whose partition function is a Lascoux atom based on the five-vertex model of Motegi and Sakai [arXiv:1305.3030] and the colored…
Crystal structures for canonical Grothendieck functions
Graham Hawkes, Travis Scrimshaw
We give a -crystal structure on multiset-valued tableaux, hook-valued tableaux, and valued-set tableaux, whose generating functions are the weak symmetric, ca…
K-theoretic crystals for set-valued tableaux of rectangular shapes
Oliver Pechenik, Travis Scrimshaw
In earlier work with C.~Monical, we introduced the notion of a K-crystal, with applications to K-theoretic Schubert calculus and the study of Lascoux polynomials. We conjectured th…
Hook-content formula using excited Young diagrams
Anatol N. Kirillov, Travis Scrimshaw
We construct a hook-content formula and its -analog using excited Young diagrams analogous to Naruse's hook-length formula for skew shapes. Furthermore, we show that our hook-co…
Candidate for the crystal for the queer Lie superalgebra
Ben Salisbury, Travis Scrimshaw
It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the c…
Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes
Rekha Biswal, Travis Scrimshaw
We show that the Kirillov--Reshetikhin crystal exists when is a node such that the Kirillov--Reshetikhin module has a multiplicity free classical decomposit…
Kirillov-Reshetikhin crystals for type
Rekha Biswal, Travis Scrimshaw
We construct a combinatorial crystal structure on the Kirillov-Reshetikhin crystal in type , where is the unique node in the orbit of in the affine Dyn…