78 citations · 125 across the 47 of their papers we have counts for
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Characterization of the unit object in localized quantum unipotent category
Koh Matsuura, Toshiki Nakashima
For the quiver Hecke algebra , let be the category of finite-dimensional graded -modules, and let be the localization of $R\hbo…
Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization of type
Manal Alshuqayr, Toshiki Nakashima
We consider a product of fundamental crystals of type in monomial realization, where the product means a natural product of Laurent monomials, not a tensor product. Then we s…
Products of Kirillov-Reshetikhin modules and maximal green sequences
Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima
We show that a -character of a Kirillov-Reshetikhin module (KR modules) for untwisted quantum affine algebras of simply laced types , , , $E_7^{…
Crystal Structure of Localized Quantum Unipotent Coordinate Category
Masaki Kashiwara, Toshiki Nakashima
A localized quantum unipotent coordinate category associated with a Weyl group element is a rigid monoidal category which is obtained by applying th…
Categorified Crystal Structure on Localized Quantum Coordinate Rings
Toshiki Nakashima
For the quiver Hecke algebra associated with a simple Lie algebra, let -gmod be the category of finite-dimensional graded -modules. It is well-known that it categorifies…