3 citations · 3 across the 2 of their papers we have counts for
5 papers
Square root crystals and the square root of
Eric Marberg, Travis Scrimshaw
We introduce a general monoidal category of -root crystals and then study the special case of square root -crystals. The latter objects include Yu's cr…
Key and Lascoux polynomials for symmetric orbit closures
Eric Marberg, Travis Scrimshaw
We introduce shifted analogues of key polynomials related to symplectic and orthogonal orbit closures in the complete flag variety. Our definitions are given by applying isobaric d…
Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras
Se-jin Oh, Travis Scrimshaw
We construct a higher level analogue of Dorey's rule, which describe certain surjective morphisms between Kirillov--Reshetikhin (KR) modules over quantum affine algebras. Building…
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…
Crystals for shifted key polynomials
Eric Marberg, Travis Scrimshaw
This article continues our study of - and -key polynomials, which are (non-symmetric) "partial" Schur - and -functions as well as "shifted" versions of key polynomials.…