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

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

2005-09-12

arxiv.org/abs/math/0509251v1

Proc. of Steklov Math. Institute vol.246, 2004, pp.134-141

Mathematics

Quantum Algebra

9 pages

Scientific paper

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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