14 citations · 68 across the 14 of their papers we have counts for
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Strong duality Data of type and extended -systems
Katsuyuki Naoi
The extended -systems are a number of short exact sequences in the category of finite-dimensional modules over the quantum affine algebras of types and ,…
Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types
Katsuyuki Naoi, Travis Scrimshaw
We prove that, in types , and , every Kirillov--Reshetikhin module associated with the node adjacent to the adjoint one (near adjoint node)…
Existence of Kirillov-Reshetikhin crystals of type and
Katsuyuki Naoi
In this paper we prove that every Kirillov-Reshetikhin module of type and has a crystal pseudobase (crystal base modulo signs), by applying the criterion fo…
Tensor products of Kirillov-Reshetikhin modules and fusion products
Katsuyuki Naoi
We study the classical limit of a tensor product of Kirillov-Reshetikhin modules over a quantum loop algebra, and show that it is realized from the classical limits of the tensor f…
Graded limits of minimal affinizations over the quantum loop algebra of type
Jian-Rong Li, Katsuyuki Naoi
The aim of this paper is to study the graded limits of minimal affinizations over the quantum loop algebra of type . We show that the graded limits are isomorphic to multiple…
Graded Limits of Minimal Affinizations in Type D
Katsuyuki Naoi
We study the graded limits of minimal affinizations over a quantum loop algebra of type D in the regular case. We show that the graded limits are isomorphic to multiple generalizat…
Demazure modules and graded limits of minimal affinizations
Katsuyuki Naoi
For a minimal affinization over a quantum loop algebra of type BC, we provide a character formula in terms of Demazure operators and multiplicities in terms of crystal bases. We al…
Demazure crystals and tensor products of perfect Kirillov-Reshetikhin crystals with various levels
Katsuyuki Naoi
In this paper, we study a tensor product of perfect Kirillov-Reshetikhin crystals (KR crystals for short) whose levels are not necessarily equal. We show that, by tensoring with a…