Se-jin Oh

activity

20052020

most citedKinematics of the M87 jet in the collimation zone: gradual acceleration and velocity stratification

72 citations · 238 across the 17 of their papers we have counts for

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11 papers · 1 filter

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.RT2019

Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras

Young-Hun Kim, Se-jin Oh, Young-Tak Oh

We construct a (bi)cyclic sieving phenomenon on the union of dominant maximal weights for level $ℓ$ highest weight modules over an affine Kac-Moody algebra with exactly one high…

math.RT2018★ 2 cited

Monoidal categorification of cluster algebras (merged version)

Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1

We prove that the quantum cluster algebra structure of a unipotent quantum coordinate ring $A_{q} (n (w))$ , associated with a symmetric Kac-Moody algebra and its Weyl group…

math.RT2017

Monoidal categories of modules over quantum affine algebras of type A and B

Masaki Kashiwara, Myungho Kim, Se-jin Oh

We construct an exact tensor functor from the category $A$ of finite-dimensional graded modules over the quiver Hecke algebra of type $A_{\infty}$ to the category $\mathscr…