54 citations · 240 across the 41 of their papers we have counts for
25 papers · 1 filter
Higher rank elliptic partition functions and multisymmetric elliptic functions
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai
We introduce and investigate a class of partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition function…
Factorization of rational six vertex model partition functions
Kohei Motegi
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular bounda…
Yang-Baxter algebra, higher rank partition functions and -theoretic Gysin map for partial flag bundles
Kohei Motegi
We investigate the -theoretic Gysin map for type partial flag bundles from the viewpoint of integrability. We introduce several types of partition functions for one version…
Integrable models and -theoretic pushforward of Grothendieck classes
Kohei Motegi
We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendie…
A class of partition functions associated with by Izergin-Korepin analysis
Kohei Motegi
Recently, a class of partition functions associated with higher rank rational and trigonometric integrable models were introduced by Foda and Manabe. We use the dynamical -matri…
Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
Kohei Motegi, Kazumitsu Sakai, Satoshi Watanabe
We introduce generalizations of type and ice models which were recently introduced by Ivanov and Brubaker-Bump-Chinta-Gunnells, and study in detail the partition functions…