37 citations · 95 across the 45 of their papers we have counts for
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Monoidal seeds of the categories over quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
In this paper, when the quiver Hecke algebra R is symmetric, we present a new construction of quantum monoidal seeds for using the reflectio…
A Comparison of cluster algebra structures arising from -boxes and Demazure weaves
JiSun Huh, Woo-Seok Jung, Myungho Kim +1
We compare two cluster algebras related to a positive element in the braid group of finite type. One is the localized bosonic extension ${\widetilde{\mathbb{A}}}…
Faithful action of braid group on bosonic extensions
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
The braid group action on the bosonic extension of the quantum group has been introduced in recent works, and it can be regarded as a generalization of Lusztig's symmetries on the…
Monoidal categorification and quantum affine algebras III
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be an arbitrary quantum affine algebra of either untwisted or twisted type, and let be its Hernandez-Leclerc category. We de…
Crystals and quantum twist automorphisms
Woo-Seok Jung, Euiyong Park
Let be the quantum twist automorphism for the quantum unipotent coordinate ring introduced by Kimura and Oya. In this paper, we study the quan…
Reflection functors on quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We construct the reflection functors for quiver Hecke algebras of an arbitrary symmetrizable Kac-Moody type. These reflection functors categorify Lusztig's braid symmetries.