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On the block structure of the quantum \(\mathcal{R}\)-matrix in the three-strand braids. (English) Zbl 1392.81203

MSC:
81T45 Topological field theories in quantum mechanics
58J28 Eta-invariants, Chern-Simons invariants
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
20F36 Braid groups; Artin groups
22E70 Applications of Lie groups to the sciences; explicit representations
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