Affine Birman-Wenzl-Murakami Algebras and Tangles in the Solid Torus

@inproceedings{Goodman2004AffineBA,
  title={Affine Birman-Wenzl-Murakami Algebras and Tangles in the Solid Torus},
  author={Frederick M. Goodman and Holly M. Hauschild},
  year={2004}
}
The ordinary (or classical) Birman-Wenzl-Murakami algebras were initially conceived as an algebraic framework for the Kauffman link invariant. They also appear as centralizer algebras for representations of quantum universal enveloping algebras of orthogonal or symplectic types. It was shown by Morton and Wassermann that the BMW algebras are isomorphic to algebras of tangles in (disc $\times$ interval), modulo Kauffman skein relations. This isomorphism allows one to see very clearly certain… CONTINUE READING

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