58 citations · 298 across the 43 of their papers we have counts for
4 papers · 1 filter
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…
A categorification of -crystals
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +1
We provide a categorification of -crystals on the singular -category . Our result extends the -crystal stru…
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…
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…