37 citations · 95 across the 45 of their papers we have counts for
5 papers · 1 filter
Monoidal categorification and quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We introduce and investigate new invariants on the pair of modules and over quantum affine algebras by analyzing their associated R-matrices. From new…
Cyclotomic quiver Hecke algebras corresponding to minuscule representations
Euiyong Park
In the paper, we give an explicit basis of the cyclotomic quiver Hecke algebra corresponding to a minuscule representation of finite type.
Crystals, semistandard tableaux and cyclic sieving phenomenon
Young-Tak Oh, Euiyong Park
In this paper, we study a new cyclic sieving phenomenon on the set of semistandard Young tableaux with the cyclic action arising from its $U_q(\mat…
Cluster algebra structures on module categories over quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We study monoidal categorifications of certain monoidal subcategories of finite-dimensional modules over quantum affine algebras, whose cluster algebra structures c…
Localizations for quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We provide the localization procedure for monoidal categories by a real commuting family of braiders. For an element of the Weyl group, is a subcategory of modu…