Se-jin Oh

collaborators

3 papers

math.RT2025

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…

math.RT2025

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.

math.RT2025

Monoidal categorification and quantum affine algebras III

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

Let $U_{q}^{'} (g)$ be an arbitrary quantum affine algebra of either untwisted or twisted type, and let $C_{g}^{0}$ be its Hernandez-Leclerc category. We de…