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http://hdl.handle.net/1942/31180| Title: | The diagram category of framed tangles and invariants of quantized symplectic group | Authors: | XIAO, Zhankui YANG, Yuping ZHANG, Yinhuo |
Issue Date: | 2020 | Publisher: | SCIENCE PRESS | Source: | SCIENCE CHINA-MATHEMATICS, 63 (4) , p. 689 -700 | Abstract: | 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. | Notes: | Xiao, ZK (reprint author), Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China. zhkxiao@hqu.edu.cn; yupingyang@swu.edu.cn; yinhuo.zhang@uhasselt.be |
Other: | Xiao, ZK (reprint author), Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China. zhkxiao@hqu.edu.cn; yupingyang@swu.edu.cn; yinhuo.zhang@uhasselt.be | Keywords: | diagram category of framed tangles;invariant theory;quantized symplectic group;Birman-Murakami-Wenzl algebra | Document URI: | http://hdl.handle.net/1942/31180 | ISSN: | 1674-7283 | e-ISSN: | 1869-1862 | DOI: | 10.1007/s11425-017-9335-3 | ISI #: | WOS:000521838500005 | Rights: | Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2021 |
| Appears in Collections: | Research publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Zhang, Yinhuo.pdf | Peer-reviewed author version | 396.13 kB | Adobe PDF | View/Open |
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