arXiv subjects

Hiroto Kusano

Publications and source records attributed to Hiroto Kusano.

2 recordsLinked to original sources

arXiv2022

Kirillov-Reshetikhin modules and quantum $K$-matrices

From a quantum $K$-matrix of the fundamental representation, we construct one for the Kirillov-Reshetikhin module by fusion construction. Using the $\imath$crystal theory by the last author, we also obtain combinatorial $K$-matrices corresponding to the symmetric tensor representations of affine type $A$ for all quasi-split Satake diagrams.

math.QA↗

arXiv2020

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

A solution to the reflection equation associated to a coideal subalgebra of $U_q(A_{2n-1}^{(1)})$ of type AII in the symmetric tensor representations is presented. If parameters of the coideal subalgebra are suitably chosen, the $K$ matrix does not depend on the quantum parameter $q$ and still agrees with a solution in arXiv:nlin/0411044 at $q=0$.

math.QA↗