郭双建,男,汉族,1981年10月,山东菏泽人,中共党员,博士后,教授,硕士生导师,目前所属应用数学系,主要从事代数学的研究,涉及Hopf代数、辫子李代数、辫子张量范畴、余环、李双代数、局部紧量子群及其相关的物理场上的杨-Baxter方程的解。撰写论文40多篇,其中SCI 20余篇,学术专著1部。
一、学习经历和主要讲授课程
大学本科(曲阜师范大学、数学与应用数学专业);硕士研究生(曲阜师范大学、基础数学专业);博士研究生(东南大学、应用数学专业);博士后(浙江大学、基础数学专业)
主要讲授课程为:高等数学、线性代数、概率论与数理统计、解析几何、高等代数、抽象代数等
二、主要成果
主要代表性论文:
[1] GuoShuangjian, Wang Shuanhong. Separable funtors for the category of partial entwined modules. Journal of Algebra and Its Applications, 2012, 11(5): 1250101.(SCI)
[2] GuoShuangjian, Wang Shuanhong. Crossed products of Hopf group-coalgebras.Kodai Mathematical Journal, 2013, 36(2): 325-342. (SCI)
[3] GuoShuangjian. On generalized partial twisted smash products. Czechoslovak Mathematical Journal, 2014, 64(139): 767-782. (SCI)
[4] GuoShuangjian, Chen Xiuli. A Maschke type theorem for relative Hom-Hopf modules. Czechoslovak Mathematical Journal, 2014, 64(139): 783-799. (SCI)
[5] GuoShuangjian, Wang Shuanhong. Morita context, partial group Galois extensions for Hopf group coalgebras. Communications in Algebra, 2015, 43: 1025-1049. (SCI)
[6] GuoShuangjian, Zhang Xiaohui, Wang Shengxiang. Relative Hom-Hopf modules and total integrals. Journal of Mathematical Physics, 2015, 56 (2): 021701. (SCI) 三区
[7] Wang Shengxiang, GuoShuangjian(通讯作者). Symmetries and the u-condition in Hom-Yetter-Drinfeld categories. Journal of Mathematical Physics, 2014, 55(8): 081708. (SCI) 三区
[8] GuoShuangjian, Zhang Xiaohui. Separable functors for the category of DoiHom-Hopf modules. Colloquium Mathematicum, 2016, 143(1):23-38. (SCI)
[9] GuoShuangjian, Zhang Xiaohui, Wang Shengxiang. Braided monoidal categories and DoiHopf modules for monoidalHom-Hopf algebras. Colloquium Mathematicum, 2016, 143(1): 79-103. (SCI)
[10] GuoShuangjian, Zhang Xiaohui, Wang Shengxiang. Total integrals of DoiHom-Hopf modules.Journal of Algebra and Its Applications, 2016, 15(4), 1650069. (SCI)
[11] GuoShuangjian, Wang Shengxiang. The affineness criterion for quantum Hom-Yetter-Drinfeld modules. Colloquium Mathematicum, 2016, 143(2): 169-185. (SCI)
[12] GuoShuangjian, Wang Shuanhong. QuasitriangularTuraev group coalgebrasand Radford’sbiproduct. Algebra Colloquium,2016, 23(3): 427-442. (SCI)
[13] Wang Shegxiang, GuoShuangjian(通讯作者). Application of Rafael theorem over partial entwined structures. Algebra Colloquium, 2016, 23(1): 89-96. (SCI)
[14] GuoShuangjian. Total quantum integrals of weak Hopf group coalgebras. Filomat, 2016, 30(2): 353-365. (SCI) 三区
[15] GuoShuangjian. On representation of quasi-Hopf group coalgebras.
MathematicaSlovaca, 2016, 66(1): 63-72. (SCI)
[16] GuoShuangjian,WangShengxiang. Partial representation of partial twisted smash products. PublicationesMathematicae Debrecen, 2016, 89(1-2): 23-41. (SCI)
[17] Wang Shegxiang, GuoShuangjian(通讯作者). Symmetric pairs and
pseudosymmetries in Hom-Yetter–Drinfeld categories. Journal of Algebra and its Applications,2017, 16(7):1750125. (SCI)
[18] Chen Huaxi, GuoShuangjian(通讯作者). DoiHomHopf modules and Frobenius type properties. Colloquium Mathematicum,2017, 148(1):69-85. (SCI)
[19] GuoShuangjian,KeYuanyuanYetter-Drinfeld modules for weak Hom-Hopf
algebras. Filomat,2017, 31(13):4069–4084. (SCI) 三区
[20] GuoShuangjian, Zhang Xiaohui, Wang Shengxiang. The construction and deformation of BiHom-Novikovagebras, J. Geom. Phys., 2018, 132: 460-472. (SCI) 三区
[21] GuoShuangjian, Zhang Xiaohui, Wang Shengxiang. The construction of Hom left-symmetric conformal bialgebras,2018,Accepted by Linear and Multilinear Algebra (SCI) 三区
[22] GuoShuangjian. Coquasitriangular weak Hopf group algebras and braided monoidal categories. Journal of Mathematical Research with Applications, 2014, 34(6): 655-668.
[23] 郭双建, 王栓宏. 弱Hopf群余代数的交叉积. 数学物理学报, 2014, 34(2): 327-337.
[24] 郭双建,王圣祥. 偏Doi-Hopf-模上Rafael定理的应用. 数学进展,2016, 45(5): 652-664.
[25 ]GuoShuangjian, Wang Shengxiang. The Construction of BiHom-Lie
Pseudo-superalgebras,2018 数学进展(录用)
主持课题:
1.国家自然科学地区基金,11761017,36万,在研,主持
2.国家自然科学天元基金,11426073, 3万,已结题,主持
3. 贵州省科技厅基金,黔科合基础[2016]1021,10万,已结题,主持
4. 贵州省科技厅基金,黔科合J字[2014]2045,5.7万,已结题,主持
5. 贵州省高校优秀科技创新人才支持计划,黔教合KY字[2015]481, 1万,已结题,主持
6. 中国博士后基金面上项目资助(一等),2015M580508, 8万,已结题,主持
获奖情况:
1. 2016年度贵州财经大学科研先进个人三等奖
2. 2017年度贵州财经大学第二届青年教师教学技能大赛二等奖
3. 《赋值理论与凸几何不等式及函数空间理论的研究》2017年度贵州科技进步三等奖(排名第四)