14 citations · 68 across the 14 of their papers we have counts for
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math.RT2011★ 3 cited
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…
math.QA2011★ 3 cited
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…
math.RT2011★ 10 cited
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…