78 citations · 125 across the 47 of their papers we have counts for
50 papers
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…
An algorithm for Berenstein-Kazhdan decoration functions and trails for classical Lie algebras
Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima
For a simply connected connected simple algebraic group , it is known that a variety has a geometric crystal structure with a positive stru…