On R-matrix representations of Birman-Murakami-Wenzl algebras
Isaev, A. P. · Ogievetsky, O. V. · Pyatov, P. N.
Original · EN
We show that to every local representation of the Birman-Murakami-Wenzl algebra defined by a skew-invertible R-matrix R∈ Aut(V⊗ V) one can associate pairings V⊗ V→ C and V*⊗ V*→ 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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