4 citations · 9 across the 14 of their papers we have counts for
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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…
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…
Braid group action on quantum virtual Grothendieck ring through constructing presentations
Il-Seung Jang, Kyu-Hwan Lee, Se-jin Oh
As a continuation of \cite{JLO1}, we investigate the quantum virtual Grothendieck ring $\frakK_q(\g)$ associated with a finite dimensional simple Lie algebra $\g$, especially of no…
Isomorphisms among quantum Grothendieck rings and cluster algebras
Ryo Fujita, David Hernandez, Se-jin Oh +1
We establish a cluster theoretical interpretation of the isomorphisms of [F.-H.-O.-O., J. Reine Angew. Math., 2022] among quantum Grothendieck rings of representations of quantum l…
Quantization of virtual Grothendieck rings and their structure including quantum cluster algebras
Il-Seung Jang, Kyu-Hwan Lee, Se-jin Oh
The quantum Grothendieck ring of a certain category of finite-dimensional modules over a quantum loop algebra associated with a complex finite-dimensional simple Lie algebra $\math…
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…
-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras
Masaki Kashiwara, Se-jin Oh
As every simple module of a quiver Hecke algebra appears as the image of the R-matrix defined on the convolution product of certain cuspidal modules, knowing the -invar…