14 citations · 68 across the 14 of their papers we have counts for
5 papers · 1 filter
Equivalence between module categories over quiver Hecke algebras and Hernandez-Leclerc's categories in general types
Katsuyuki Naoi
We prove in full generality that the generalized quantum affine Schur-Weyl duality functor, introduced by Kang-Kashiwara-Kim, gives an equivalence between the category of finite-di…
Defining relations of fusion products and Schur positivity
Katsuyuki Naoi
In this note we give defining relations of an -module defined by the fusion product of simple -modules whose highest weights are multip…
Fusion products of Kirillov-Reshetikhin modules and the X = M conjecture
Katsuyuki Naoi
In this article, we show in the ADE case that the fusion product of Kirillov-Reshetikhin modules for a current algebra, whose character is expressed in terms of fermionic forms, ca…
Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties
Ryosuke Kodera, Katsuyuki Naoi
We prove that a Weyl module for the current Lie algebra associated with a simple Lie algebra of type is rigid, that is, it has a unique Loewy series. Further we use this resu…
Weyl modules, Demazure modules and finite crystals for non-simply laced type
Katsuyuki Naoi
We show that every Weyl module for a current algebra has a filtration whose successive quotients are isomorphic to Demazure modules, and that the path model for a tensor product of…