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Quantum groups and representations of monoidal categories. (English) Zbl 0712.17014

Some categorical explanations of the interactions among knot theory, Hopf algebras and quantum groups are given. In section 8, three open questions are proposed.
Reviewer: Li Wanglai

MSC:

17B37 Quantum groups (quantized enveloping algebras) and related deformations
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
57Q45 Knots and links in high dimensions (PL-topology) (MSC2010)
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
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References:

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