O_(q)(SO_(5)(C))经由U_(q)(so_(5)(C))的Jantzen途径实现  

The realization of O_(q)(SO_(5)(C)) arising from Uq(so_(5)(C)) via Jantzen approach

作　　者：王美艳[1] 许潇 胡乃红 WANG Mei-yan;XU Xiao;HU Nai-hong(School of Information Engineering,Suzhou Industrial Park Institute of Services Outsourcing,Suzhou 215000,China;School of Mathematical Sciences,East China Normal University,Shanghai 200241,China)

机构地区：[1]苏州工业园区服务外包职业学院信息工程学院,江苏苏州215000 [2]华东师范大学数学科学学院,上海200241

出　　处：《东北师大学报（自然科学版）》2024年第1期8-13,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(12171155,12071094);上海科学技术委员会项目(22DZ2229014);苏州市教育科学“十四五”规划项目(2021/LX/02/461/12);江苏高校哲学社会科学一般项目(2023SJYB1565)。

摘　　要：受Jantzen研究U_(q)(sl_(2)(C))和O_(q)(SL_(2)(C))方法的启发,利用U_(q)(so_(5)(C))自然表示理论中的R-矩阵,实现了B2型量子包络代数的对偶Hopf代数结构,即B2型仿射代数群的量子坐标环O_(q)(SO_(5)(C)).Inspired by Jantzen's researching on U_(q)(so_(5)(C)) and O_(q)(SL_(2)(C)),the dual Hopf algebra structure of quantum enveloping algebra of Bz type by the R-matrix of natural representation of U_(q)(so_(5)(C)),namely,the quantum coordinate ring O_(q)(SO_(5)(C))of affine algebraic group of type B,is realized.

关 键 词：U_(q)(so_(5)(C)) O_(q)(SO_(5)(C)) 自然表示 R-矩阵 

分 类 号：O152.6[理学—数学]