Geodesic
On R-Matrix Representations of Birman--Murakami--Wenzl Algebras
Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 147-153

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It is shown that, to every local representation of the Birman–Murakami–Wenzl algebra defined by a skew invertible R-matrix $\hat R\in\mathrm{Aut}(V^{\otimes 2})$, one can associate pairings $V\otimes V\rightarrow\mathbb C$ and $V^*\otimes V^*\rightarrow\mathbb C$, where $V$ is the representation space. Further, conditions are investigated under which the corresponding quantum group is of SO or Sp type. 
@article{TRSPY_2004_246_a9,
     author = {A. P. Isaev and O. V. Ogievetskii and P. N. Pyatov},
     title = {On {R-Matrix} {Representations} of {Birman--Murakami--Wenzl} {Algebras}},
     journal = {Informatics and Automation},
     pages = {147--153},
     publisher = {mathdoc},
     volume = {246},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a9/}
}
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A. P. Isaev; O. V. Ogievetskii; P. N. Pyatov. On R-Matrix Representations of Birman--Murakami--Wenzl Algebras. Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 147-153. http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a9/