21 citations · 267 across the 50 of their papers we have counts for
6 papers · 1 filter
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…
On the structure and representation theory of -deformed Clifford algebras
Willie Aboumrad, Travis Scrimshaw
We provide a generalized definition for the quantized Clifford algebra introduced by Hayashi using another parameter that we call the twist. For a field of characteristic not e…
Crystal invariant theory II: Pseudo-energies
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
The geometric crystal operators and geometric -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in variables. We study t…
Crystal invariant theory I: Geometric RSK
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
Berenstein and Kazhdan's theory of geometric crystals gives rise to two commuting families of geometric crystal operators acting on the space of complex matrices. Thes…
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…
Type rigged configuration bijection
Masato Okado, Reiho Sakamoto, Anne Schilling +1
We establish a bijection between the set of rigged configurations and the set of tensor products of Kirillov--Reshetikhin crystals of type in full generality. We prove…