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Braids, link polynomials and a new algebra


Authors: Joan S. Birman and Hans Wenzl
Journal: Trans. Amer. Math. Soc. 313 (1989), 249-273
MSC: Primary 57M25; Secondary 17B99, 20F36
DOI: https://doi.org/10.1090/S0002-9947-1989-0992598-X
MathSciNet review: 992598
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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.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9947-1989-0992598-X
Article copyright: © Copyright 1989 American Mathematical Society

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