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Braids, Link Polynomials and a New Algebra

Joan S. Birman and Hans Wenzl
Transactions of the American Mathematical Society
Vol. 313, No. 1 (May, 1989), pp. 249-273
DOI: 10.2307/2001074
Stable URL: http://www.jstor.org/stable/2001074
Page Count: 25
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Braids, Link Polynomials and a New Algebra
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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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