31 citations · 35 across the 3 of their papers we have counts for
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math.QA2008★ 2 cited
On Frenkel-Mukhin algorithm for q-character of quantum affine algebras
Wakako Nakai, Tomoki Nakanishi
The q-character is a strong tool to study finite-dimensional representations of quantum affine algebras. However, the explicit formula of the q-character of a given representation…
math.QA2006★ 2 cited
Paths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type D_n
Wakako Nakai, Tomoki Nakanishi
We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affi…
math.QA2005★ 31 cited
Paths, tableaux, and q-characters of quantum affine algebras: the C_n case
Wakako Nakai, Tomoki Nakanishi
For the quantum affine algebra with of classical type, let be the Jacobi-Trudi type determinant for the generating series of th…