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On R-matrix representations of Birman-Murakami-Wenzl algebras

A. P. Isaev·O. V. Ogievetsky·P. N. Pyatov
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Abstract

We show that to every local representation of the Birman-Murakami-Wenzl algebra defined by a skew-invertible R-matrix $R\in Aut(V\otimes V)$ one can associate pairings $V\otimes V\to C$ and $V^*\otimes V^*\to C$, where V is the representation space. Further, we investigate conditions under which the corresponding quantum group is of SO or Sp type.

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BibTeXRIS

A. P. Isaev, O. V. Ogievetsky, P. N. Pyatov. 2005-09-12. On R-matrix representations of Birman-Murakami-Wenzl algebras. https://arxiv.org/abs/math/0509251

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