Geodesic
On one ansatz for $\mathrm{sl}_2$-invariant $R$-matrices
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 100-118

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The spectral decomposition of regular $\mathrm{sl}_2$-invariant $R$-matrices $R(\lambda)$ is studied by means of the method of reduction of the Yang–Baxter equation onto subspaces of a given spin. Restrictions on the possible structure of several highest coefficients in the spectral decomposition are derived. The origin and structure of the exceptional solution in the case of spin $s=3$ are explained. An analogous analysis is performed for constant $R$-matrices. In particular, it is shown that the permutation matrix $\mathbb P$ is a “rigid” solution. 
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     author = {A. G. Bytsko},
     title = {On one ansatz for $\mathrm{sl}_2$-invariant $R$-matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {100--118},
     publisher = {mathdoc},
     volume = {335},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a5/}
}
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A. G. Bytsko. On one ansatz for $\mathrm{sl}_2$-invariant $R$-matrices. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 100-118. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a5/