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Mutants and \(SU(3)_q\) invariants. (English) Zbl 0901.57002
Rivin, Igor (ed.) et al., The Epstein Birthday Schrift dedicated to David Epstein on the occasion of his 60th birthday. Warwick: University of Warwick, Institute of Mathematics, Geom. Topol. Monogr. 1, 365-381 (1998).
Summary: Details of quantum knot invariant calculations using a specific \(SU(3)_q\)-module are given which distinguish the Conway and Kinoshita-Teresaka pair of mutant knots. Features of Kuperberg’s skein-theoretic techniques for \(SU(3)_q\) invariants in the context of mutant knots are also discussed.
For the entire collection see [Zbl 0901.00063].

MSC:
57M25 Knots and links in the \(3\)-sphere (MSC2010)
22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
17B37 Quantum groups (quantized enveloping algebras) and related deformations
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