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

作     者：Hong Mei HU Nai Hong HU Hong Mei HU;Nai Hong HU

作者机构：School of Mathematical SciencesSuzhou University of Science and TechnologySuzhou 215009P.R.China School of Mathematical SciencesMOE Key Laboratory of Mathematics and Engineering Applications&Shanghai Key Laboratory of PMMPEast China Normal UniversityShanghai 200241P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第2期

页      面：485-497页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

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

主　　题：Braiding R-matrix spin module minimal polynomial 

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 ***,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.