Kohei Motegi

collaborators

2 papers

math.QA2025

Multiple commutation relations of the quantum affine algebra $U_{q} (gl_{N})$ , nested Bethe vector and the Gelfand-Tsetlin basis

Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai

We study a certain type of multiple commutation relations of the quantum affine algebra $U_{q} (gl_{N})$ . We show that all the coefficients in the multiple commutat…

math.QA2024

Gelfand-Tsetlin Bases for Elliptic Quantum Groups

Hitoshi Konno, Kohei Motegi

We study the level-0 representations of the elliptic quantum group $U_{q, p} (gl_{N})$ . We give a classification theorem of the finite-dimensional irreducible repr…

Multiple commutation relations of the quantum affine algebra Uq​(gl​N​), nested Bethe vector and the Gelfand-Tsetlin basis

Gelfand-Tsetlin Bases for Elliptic Quantum Groups

Multiple commutation relations of the quantum affine algebra $U_{q} (gl_{N})$ , nested Bethe vector and the Gelfand-Tsetlin basis