Braids, link polynomials and a new algebra

Birman, Joan S.; Wenzl, Hans

doi:10.1090/S0002-9947-1989-0992598-X

Braids, link polynomials and a new algebra
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by Joan S. Birman and Hans Wenzl PDF

Trans. Amer. Math. Soc. 313 (1989), 249-273 Request permission

Abstract:

A class function on the braid group is derived from the Kauffman link invariant. This function is used to construct representations of the braid groups depending on $2$ parameters. The decomposition of the corresponding algebras into irreducible components is given and it is shown how they are related to Jones’ algebras and to Brauer’s centralizer algebras.

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