Geodesic
On R-Matrix Representations of Birman--Murakami--Wenzl Algebras
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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. 
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A. P. Isaev; O. V. Ogievetskii; P. N. Pyatov. On R-Matrix Representations of Birman--Murakami--Wenzl Algebras. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 147-153. http://geodesic.mathdoc.fr/item/TM_2004_246_a9/

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