37 citations · 95 across the 45 of their papers we have counts for
49 papers
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}}}…
Newton--Okounkov bodies of partial flag varieties via cluster algebras
Yunhyung Cho, Myungho Kim, Yoosik Kim +1
We construct Newton--Okounkov polytopes of Schubert varieties in partial flag varieties of arbitrary type using the cluster structure on a unipotent cell. When the governing cluste…
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…