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math.RT2023
Localizations for quiver Hecke algebras III
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a quiver Hecke algebra, and let be the category of finite-dimensional graded -module categorifying a -deformation of the doubly-invariant algeb…
math.RT2023
Laurent family of simple modules over quiver Hecke algebra
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We introduce the notions of quasi-Laurent and Laurent families of simple modules over quiver Hecke algebras of arbitrary symmetrizable types. We prove that such a family plays a si…
math.RT2023★ 2 cited
Affinizations, R-matrices and reflection functors
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
In this paper we establish affinizations and R-matrices in the language of pro-objects, and as an application, we construct reflection functors over the localizations of quiver Hec…