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Quantum double finite group algebras and link polynomials

Published online by Cambridge University Press:  17 April 2009

I. Tsohantjis  and
M.D. Gould
I. Tsohantjis
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072Australia
M.D. Gould
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072Australia
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 177 - 204
Copyright
Copyright © Australian Mathematical Society 1994

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