R-matrix for the 8-Dimensional Spin Representation of Uq(so7)

作者:Hu, Hong Mei; Hu, Nai Hong*
来源:ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40(2): 485-497.
DOI:10.1007/s10114-023-1082-5

摘要

The purpose of the paper is to describe the solution to the quantum Yang-Baxter equation associated with the 8-dimensional spin representation T-sp of U-q(so(7)). The self-duality of T-sp and the symmetry of the corresponding braiding matrix are proved. Also, the minimal polynomial of the braiding R-matrix of T-sp is presented explicitly in an ingenious method by taking advantage of nice features of the spin representation T-sp.

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