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

The diagram category of framed tangles and invariants of quantized symplectic group
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE CSCD 2020年第4期689-700,共12页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant No.11301195) China Scholarship Council and a research foundation of Huaqiao University(Grant No.2014KJTD14)。
关键词 DIAGRAM CATEGORY of framed TANGLES invariant theory QUANTIZED SYMPLECTIC group BirmanMurakami-Wenzl algebra diagram category of framed tangles invariant theory quantized symplectic group BirmanMurakami-Wenzl algebra
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