activity
19952024
most citedExistence of Kirillov-Reshetikhin crystals for nonexceptional types

86 citations · 910 across the 67 of their papers we have counts for

collaborators

69 papers

math-ph2024

A strange five vertex model and multispecies ASEP on a ring

Atsuo Kuniba, Masato Okado, Travis Scrimshaw

We revisit the problem of constructing the stationary states of the multispecies asymmetric simple exclusion process on a one-dimensional periodic lattice. Central to our approach…

math.RT2023

Oscillator representations of quantum affine orthosymplectic superalgebras

Jae-Hoon Kwon, Sin-Myung Lee, Masato Okado

We introduce a category of -oscillator representations over the quantum affine superalgebras of type and construct a new family of its irreducible representations. Motivated…

math.QA2022★ 1 cited

Kirillov-Reshetikhin modules and quantum -matrices

Hiroto Kusano, Masato Okado, Hideya Watanabe

From a quantum -matrix of the fundamental representation, we construct one for the Kirillov-Reshetikhin module by fusion construction. Using the crystal theory by the la…

math.QA2020

Solution to the reflection equation related to the quantum group of type AII

Hiroto Kusano, Masato Okado

A solution to the reflection equation associated to a coideal subalgebra of of type AII in the symmetric tensor representations is presented. If parameters of…

math.QA2020★ 4 cited

Higher level -oscillator representations for and

Jae-Hoon Kwon, Masato Okado

We introduce higher level -oscillator representations for the quantum affine (super)algebras of type and . These representations are const…

math-ph2019★ 5 cited

Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type

Atsuo Kuniba, Masato Okado

A trick to obtain a systematic solution to the set-theoretical reflection equation is presented from a known one to the Yang-Baxter equation. Examples are given from crystals and g…