Myungho Kim

activity

20122020

most citedMonoidal categorification of cluster algebras II

23 citations · 34 across the 9 of their papers we have counts for

collaborators

15 papers

math.RT2020

PBW theory for quantum affine algebras

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

Let $U_{q}^{'} (g)$ be a quantum affine algebra of arbitrary type and let $C_{g}$ be Hernandez-Leclerc's category. We can associate the quantum affine Sch…

math.RA2020

Polynomial invariants on matrices and partition, Brauer algebra

Myungho Kim, Doyun Koo

We identify the dimension of the centralizer of the symmetric group $S_{d}$ in the partition algebra $A_{d} (δ)$ and in the Brauer algebra $B_{d} (δ)$ with t…

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…