Yuki Kanakubo

activity

20182025

collaborators

5 papers

math.RT2025

Products of Kirillov-Reshetikhin modules and maximal green sequences

Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima

We show that a $q$ -character of a Kirillov-Reshetikhin module (KR modules) for untwisted quantum affine algebras of simply laced types $A_{n}^{(1)}$ , $D_{n}^{(1)}$ , $E_{6}^{(1)}$ , $E_7^{…

math.QA2021

Polyhedral realizations for $B (\infty)$ and extended Young diagrams, Young walls of type $A_{n - 1}^{(1)}$ , $C_{n - 1}^{(1)}$ , $A_{2 n - 2}^{(2)}$ , $D_{n}^{(2)}$

Yuki Kanakubo

The crystal bases are quite useful combinatorial tools to study the representations of quantized universal enveloping algebras $U_{q} (g)$ . The polyhedral realization for $…

math.QA2021

An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations

Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima

For a simply connected connected simple algebraic group $G$ , a cell $B_{w_{0}}^{-} = B^{-} \cap U w_{0} U$ is a geometric crystal with a positive structure $θ_{\textbf{i}}^-:(\mathbb…

math.QA2019

Adapted Sequence for Polyhedral Realization of Crystal Bases

Yuki Kanakubo, Toshiki Nakashima

The polyhedral realization of crystal base has been introduced by A.Zelevinsky and the second author([T.Nakashima, A.Zelevinsky, Adv. Math. 131, no. 1 (1997)]), which describe the…

math.QA2018

Geometric crystals and Cluster ensembles in Kac-Moody setting