35 citations · 70 across the 6 of their papers we have counts for
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math.QA2006★ 7 cited
The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
M. Kasatani, Y. Takeyama
We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type A_{N-1}. They are co…
cond-mat.stat-mech2006★ 35 cited
On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state
M. Kasatani, V. Pasquier
We obtain a family of polynomials defined by vanishing conditions and associated to tangles. We study more specifically the case where they are related to a O(n) loop model. We con…