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

作　　者：Zhankui Xiao Yuping Yang Yinhuo Zhang 

机构地区：[1]School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China [2]Department of Mathematics&Statistics,University of Hasselt,Universitaire Campus,Diepenbeek 3590,Belgium

出　　处：《Science China Mathematics》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)。

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.

关 键 词：DIAGRAM CATEGORY of framed TANGLES invariant theory QUANTIZED SYMPLECTIC group BirmanMurakami-Wenzl algebra 

分 类 号：O152.7[理学—数学]