Quantum group invariants and link polynomials |
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| Authors: | R B Zhang M D Gould A J Bracken |
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| Institution: | (1) Department of Mathematics, The University of Queensland, 4072 Brisbane, Qld., Australia |
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| Abstract: | A general method is developed for constructing quantum group invariants and determining their eigenvalues. Applied to the universalR-matrix this method leads to the construction of a closed formula for link polynomials. To illustrate the application of this formula, the quantum groupsU
q
(E
8),U
q
(so(2m+1) andU
q
(gl(m)) are considered as examples, and corresponding link polynomials are obtained. |
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| Keywords: | |
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