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

作　　者：Hong Mei HU Nai Hong HU 

机构地区：[1]School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,P.R.China [2]School of Mathematical Sciences,MOE Key Laboratory of Mathematics and Engineering Applications&Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai 200241,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第2期485-497,共13页数学学报（英文版）

基　　金：Supported by the NNSFC(Grant Nos.12171155,12071094,11801394);in part by the Science and Technology Commission of Shanghai Municipality(No.22DZ2229014)。

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 Tsp of Uq(so7).The self-duality of Tsp and the symmetry of the corresponding braiding matrix are proved.Also,the minimal polynomial of the braiding R-matrix of Tsp is presented explicitly in an ingenious method by taking advantage of nice features of the spin representation Tsp.

关 键 词：Braiding R-matrix spin module minimal polynomial 

分 类 号：O151.21[理学—数学]