Ricardo Soares Vieira

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20102019

most citedSolving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

29 citations · 65 across the 9 of their papers we have counts for

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nlin.SI2017★ 29 cited

Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

R. S. Vieira

The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differ…

nlin.SI2016★ 4 cited

Reflection matrices with $U_{q} [os p^{(2)} (2∣2 m)]$ symmetry

R. S. Vieira, A. Lima-Santos

We propose a classification of the reflection $K$ -matrices (solutions of the boundary Yang-Baxter equation) for the $U_{q}[\mathrm{osp}^{\left(2\right)}\left(2|2m\right)]=U_{q}[C^{…

nlin.SI2012★ 4 cited

On the multiparametric {\cal U}_q[D_{n+1}^{(2)}] vertex model

Ricardo S. Vieira, A. Lima-Santos

In this paper we consider families of multiparametric $R$ -matrices to make a systematic study of the boundary Yang-Baxter equations in order to discuss the corresponding families o…

Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

Reflection matrices with Uq​[osp(2)(2∣2m)] symmetry

On the multiparametric {\cal U}_q[D_{n+1}^{(2)}] vertex model

Reflection matrices with $U_{q} [os p^{(2)} (2∣2 m)]$ symmetry