Representations of braid groups and the quantum Yang-Baxter equation (Q1175109)
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scientific article; zbMATH DE number 11022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representations of braid groups and the quantum Yang-Baxter equation |
scientific article; zbMATH DE number 11022 |
Statements
Representations of braid groups and the quantum Yang-Baxter equation (English)
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25 June 1992
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Given a knot or link \(L\) in \(S^ 3\), one can obtain a series of polynomial invariants by cabling each component of \(L\). This construction was well-studied by J. Murakami, Akutsu and Wadati, and others, either using representation theory or using the solution of the Yang-Baxter equation in statistical mechanics. In this paper, a representation- theoretical approach to these invariants, similar to J. Murakami, is presented.
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braid group
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Jones polynomial
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parallel knot
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link
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cabling
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Yang-Baxter equation
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0.95854723
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0.9498445
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0.9454788
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0.9340428
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0.9328178
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