The diagram category of framed tangles and invariants of quantized symplectic group

The diagram category of framed tangles and invariants of quantized symplectic group

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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Veröffentlicht in:Science China. Mathematics 2020-04, Vol.63 (4), p.689-700
Hauptverfasser: Xiao, Zhankui, Yang, Yuping, Zhang, Yinhuo
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Invariants
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-017-9335-3