14 citations · 37 across the 19 of their papers we have counts for
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R-matrices of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
T. Fonseca, L. Frappat, E. Ragoucy
We review some of the strategies that can be implemented to infer an -matrix from the knowledge of its Hamiltonian. We apply them to the classification achieved in arXiv:1306.63…
Finite Dimensional KP τ-functions I. Finite Grassmannians
F. Balogh, T. Fonseca, J. Harnad
We study τ-functions of the KP hierarchy in terms of abelian group actions on finite dimensional Grassmannians, viewed as subquotients of the Hilbert space Grassmannians of Sato, S…
Temperley-Lieb R-matrices from generalized Hadamard matrices
Jean Avan, Tiago Fonseca, Luc Frappat +3
New sets of rank n-representations of Temperley-Lieb algebra TL_N(q) are constructed. They are characterized by two matrices obeying a generalization of the complex Hadamard proper…
Higher spin polynomial solutions of quantum Knizhnik--Zamolodchikov equation
T. Fonseca, P. Zinn-Justin
We provide explicit formulae for highest-weight to highest-weight correlation functions of perfect vertex operators of at arbitrary integer level $\el…
On some ground state components of the O(1) loop model
T. Fonseca, P. Zinn-Justin
We address a number of conjectures about the ground state O(1) loop model, computing in particular two infinite series of partial sums of its entries and relating them to the enume…