Toya Hiroshima

activity

20162021

most cited

q

-crystal structure on primed tableaux and on signed unimodal factorizations of reduced words of type

B

12 citations · 13 across the 5 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.CO2021

Perfectness of Kirillov-Reshetikhin Crystals $B^{r, s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with a minuscule node $r$

Toya Hiroshima

We prove the perfectness of Kirillov-Reshetikhin crystals $B^{r, s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with $r$ being the minuscule node and $s \geq 1$ using the polytope mod…

math.CO2021

An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type $G_{2}^{(1)}$

Toya Hiroshima

We construct an explicit algorithm of the static-preserving bijection between the rigged configurations and the highest weight paths of the form $(B^{2, 1})^{\otimes L}$ in the $G_{…

Perfectness of Kirillov-Reshetikhin Crystals Br,s for types E6(1)​ and E7(1)​ with a minuscule node r

An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type G2(1)​

Perfectness of Kirillov-Reshetikhin Crystals $B^{r, s}$ for types $E_{6}^{(1)}$ and $E_{7}^{(1)}$ with a minuscule node $r$

An Explicit Algorithm of Rigged Configuration Bijection for the Adjoint Crystal of Type $G_{2}^{(1)}$