E. Park

most citedCategories over quantum affine algebras and monoidal categorification

4 citations · 5 across the 3 of their papers we have counts for

collaborators

5 papers

math.QA2020★ 4 cited

Categories over quantum affine algebras and monoidal categorification

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $U_{q}^{'} (g)$ be a quantum affine algebra of untwisted affine $A D E$ type, and $C_{g}^{0}$ the Hernandez-Leclerc category of finite-dimensional $U_q'(\…

math.RT2020

PBW theoretic approach to the module category of quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $U_{q}^{'} (g)$ be a quantum affine algebra of untwisted affine ADE type and let $C_{g}^{0}$ be Hernandez-Leclerc's category. For a duality datum $\math…

math.RT2020★ 1 cited

Braid group action on the module category of quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $g_{0}$ be a simple Lie algebra of type ADE and let $U_{q}^{'} (g)$ be the corresponding untwisted quantum affine algebra. We show that there exists an action of…

math.RT2019

Monoidal categorification and quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

We introduce and investigate new invariants on the pair of modules $M$ and $N$ over quantum affine algebras $U_{q}^{'} (g)$ by analyzing their associated R-matrices. From new…

math.CO2019

Crystals, semistandard tableaux and cyclic sieving phenomenon

Young-Tak Oh, Euiyong Park

In this paper, we study a new cyclic sieving phenomenon on the set $SST_{n} (λ)$ of semistandard Young tableaux with the cyclic action $c$ arising from its $U_q(\mat…