The diagram category of framed tangles and invariants of quantized symplectic group
classification
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categorydiagramframedquantizedsymplectictanglestheorybraided
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In this paper we present a categorical version of the first and second fundamental theorems of the invariant theory for the quantized symplectic groups. Our methods depend on the theory of braided strict monoidal categories which are pivotal, more explicitly the diagram category of framed tangles.
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