72 citations · 873 across the 61 of their papers we have counts for
5 papers · 2 filters
Monoidal categorification of cluster algebras
Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1
We give a definition of monoidal categorifications of quantum cluster algebras and provide a criterion for a monoidal category of finite-dimensional graded -modules to become a…
Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality
Se-jin Oh
We first provide an explicit combinatorial description of the Auslander-Reiten quiver of finite type . Then we can investigate the categories of finite dimensional represe…
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III
Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1
Let $\CC^0_{\g}$ be the category of finite-dimensional integrable modules over the quantum affine algebra $U_{q}'(\g)$ and let $R^{A_\infty}\gmod$ denote the category of finite-dim…
Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality
Se-jin Oh
The quiver Hecke algebra can be also understood as a generalization of the affine Hecke algebra of type in the context of the quantum affine Schur-Weyl duality by the resul…
Simplicity of heads and socles of tensor products
Seok-Jin Kang, Masaki Kashiwara, Myungho Kim +1
We prove that, for simple modules and over a quantum affine algebra, their tensor product has a simple head and a simple socle if is simple. A s…