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

A. P. Isaev; O. V. Ogievetsky; P. N. Pyatov

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

Quantum Algebra 2007-05-23 v1

Authors: A. P. Isaev , O. V. Ogievetsky , P. N. Pyatov

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.

Keywords

birman-murakami-wenzl algebra r-matrix local representation pairings quantum group so type sp type

Cite

@article{arxiv.math/0509251,
  title  = {On R-matrix representations of Birman-Murakami-Wenzl algebras},
  author = {A. P. Isaev and O. V. Ogievetsky and P. N. Pyatov},
  journal= {arXiv preprint arXiv:math/0509251},
  year   = {2007}
}

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9 pages

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

Abstract

Keywords

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