114 citations · 937 across the 96 of their papers we have counts for
98 papers
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…
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…
Localizations for quiver Hecke algebras II
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We prove that the localization of the monoidal category is rigid, and the category admits a localization via a real commuting family of central…
The -Cartan matrix specialized at
Masaki Kashiwara, Se-jin Oh
The -Cartan matrix specialized at , usually called the quantum Cartan matrix, has deep connections with (i) the representation theory of its untwisted quantum affine al…