5 papers · 2 filters
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…
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.
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 qua…
Unipotent quantum coordinate ring and cominuscule prefundamental representations
Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park
We continue the study of realization of the prefundamental modules , introduced by Hernandez and Jimbo, in terms of unipotent quantum coordinate rings as in [J-Kwon-…