Bulletin of the Australian Mathematical Society

Research Article

Quantum double finite group algebras and link polynomials

I. Tsohantjisa1 and M.D. Goulda1

a1 Department of Mathematics The University of Queensland Queensland 4072 Australia

Unitary representations of the braid group and corresponding link polynomials are constructed corresponding to each irreducible representation of a quantum double finite group algebra. Moreover the diagonal form of the braid generator is derived from which a general closed formula is obtained for link polynomials. As an example, link polynomials corresponding to certain induced representations of the symmetric group and its subgroups are determined explicitly.

(Received March 30 1993)