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 categ...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.展开更多
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)。
文摘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.