Euiyong Park

activity

20102022

most citedQuiver Varieties and Path Realizations arising from Adjoint Crystals of type

A_{n}^{(1)}

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2022

Localizations for quiver Hecke algebras II

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

We prove that the localization of the monoidal category $C_{w}$ is rigid, and the category $C_{w, v}$ admits a localization via a real commuting family of central…

math.RT2022

Braid group action on extended crystals

Euiyong Park

In the paper, we prove that there exists a braid group action on the extended crystal $B (\infty)$ of finite type. The extended crystal $B (\infty)$ and its braid…

math.CO2014

Duality on Fock spaces and combinatorial energy functions

Jae-Hoon Kwon, Euiyong Park

We generalize in a combinatorial way the notion of the affine energy function of type $A$ to the case of a more general class of modules over a general linear Lie superalgebra $\ma…

math.RT2014★ 1 cited

Representation type of finite quiver Hecke algebras of type $C_{ℓ}^{(1)}$

Susumu Ariki, Euiyong Park

We give a graded dimension formula described in terms of combinatorics of Young diagrams and a simple criterion to determine the representation type for the finite quiver Hecke alg…

math.RT2010★ 1 cited

Quiver Varieties and Path Realizations arising from Adjoint Crystals of type $A_{n}^{(1)}$

Seok-Jin Kang, Euiyong Park

Let $B (Λ_{0})$ be the level 1 highest weight crystal of the quantum affine algebra $U_{q} (A_{n}^{(1)})$ . We construct an explicit crystal isomorphism between the geometric realization $\…

math.RT2010

Irreducible Modules over Khovanov-Lauda-Rouquier Algebras of type $A_{n}$ and Semistandard Tableaux

Seok-Jin Kang, Euiyong Park

Using combinatorics of Young tableaux, we give an explicit construction of irreducible graded modules over Khovanov-Lauda-Rouquier algebras $R$ and their cyclotomic quotients $R^{λ}$ …