性别:男
聘任技术职务:教授
学历:研究生教育
联系电话:
电子邮箱:pei@shnu.edu.cn
通讯地址:3号楼234
部门:数理学院
学位:理学博士学位
毕业院校:华东师范大学
办公地址:桂林路100号
研究方向 学术成果 教学工作 荣誉奖励 社会兼职
(0)
研究方向:研究方向
(1)无限维李代数、顶点代数、量子代数与表示理论;
(2)数学教育与数学科普。
发表论文
[1] Shoulan Gao,Yufeng Pei, Haiying Wang Derivations of the nongraded Witt algebra with coefficients in tensor modules, Linear and Multilinear Algebra2020 , Online https://doi.org/10.1080/**.2020.**
[2] Dong Liu,Yufeng Pei, Limeng Xia, Simple restricted modules for Neveu-Schwarz algebra.J. Algebra**,341–356.
[3] Dong Liu,Yufeng Pei,Limeng Xia, Representations for three-point Lie algebras of genus zero.Internat. J. Math.302019 ,no. 14,**.
[4] Yufeng Pei, Jinwei Yang,Strongly graded vertex algebras generated by vertex Lie algebras, Communications in Contemporary Mathematics, 2018.12, Vol. 21, No. 08, ** (2019)
[5] Dong Liu , Yufeng Pei, Deformations on the twisted Heisenberg-Virasoro algebra, Chinese Annals of Mathematics, Series B, 2019.1, 40(1): 111-116.
[6] Wei Jiang, Yufeng Pei, Wei Zhang, Determinant formula and realization for the Lie algebra W (2,2) , Science China Mathematics, 2018.04,61(4): 685-694.
[7] Dong Liu, Yufeng Pei, Limeng Xia, On finite dimensional simple Novikov superalgebras, Communications in Algebra, 2018.8, Online(https://doi.org/10.1)
[8] Dong Liu, Yufeng Pei, Limeng Xia, Irreducible representations over the diamond Lie algebra , Communications in Algebra, 2018, 46(1): 143-148。
[9] Shoulan Gao, Qingle Meng, Yufeng Pei,The first cohomology of N?=?1 super Virasoro algebras, Communications in Algebra,47(10)(2019).
[10] Yufeng Pei, Jiancai Sun,Vertex algebras associated to a class of Lie algebras of Krichever-Novikov type , Journal of Geometry and Physics, 2016.12, 110: 176-186
[11] Chengming Bai, Haisheng Li, Yufeng Pei, φ-Coordinated modules for vertex algebras, Journal of Algebra, 2015.3.15, 426(426): 211-242
[12] Dong Liu, Yufeng Pei, Limeng Xia, Whittaker modules for the super-Virasoro algebras , .J. Algebra Appl.18(2019),no. 11,**.
[13] Shoulan Gao, Dong Liu, Yufeng Pei, Structure of the planar Galilean conformal algebra , Reports on Mathematical Physics, 2016.08, 78(1) 107-122
[14] Shoulan Gao, Yufeng Pei,Chengming Bai, Some algebraic properties of the supersymmetric extension of GCA in 2d , J. Phys.A: Math Theor., 2014.6.6, 47(22): 225202
[15] Yan Wang, Yufeng Pei, Shaoqiang Deng, Leibniz central extensions of Lie superalgebras, J. Alg. Appl. Vol. 13, No. 08, ** (2014).
[16] Cuipo Jiang, Jingjing Jiang, Yufeng Pei, The q-analog Klein bottle Lie algebra, Algebra Colloq.2014.12, 13(8) **
[17] Yufeng Pei, Chengming Bai, Balinsky-Novikov superalgebas and some infinite dimensional Lie superalgebras, J. Alg. Appl. 11(2012), **.
[18] Yufeng Pei, Chengming Bai, On an infinite dimensional Lie algebra of Virasoro type, J. Phys.A: Math Theor. 45 (2012), 235201.
[19] Naihong Hu, Yufeng Pei, Notes on two-parameter quantum groups (II), Algebra Comm.40(2012), 3202–3220.
[20] Dong Liu, Yufeng Pei, Linsheng Zhu, Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra, J. Algebra, 359(2012), 35-48.
[21] Shoulan Gao, Dong Liu, Yufeng Pei, The deformed Lie algebra of differential operators of order at most one, J. Math. Phys., 52(2011), 083513.
[22] Yixin Bao, Cuipo Jiang, Yufeng Pei, Representations of affine Nappi-Witten algebras, J. Algebra,342(2011), 111-133.
[23] Cuipo Jiang, Jingjing Jiang, Yufeng Pei, Structure of the local area-preserving Lie algebra for the Klein bottle, J. Lie Theory, 21(2011), 101-122.
[24] Yufeng Pei, Chengming Bai, Novikov algebras and Schr?dinger-Virasoro Lie algebras, J.Phys. A: Math Theor., 44(2011), 045201.
[25] Shoulan Gao, Cuipo Jiang, Yufeng Pei, On the low dimensional cohomology groups for the Lie algebra W(a,b), Algebra Comm., 39(2011), 397-423.
[26] Yufeng Pei, Chengming Bai, Realizations of conformal current type Lie algebra, J. Math.Phys., 51(2010), 052302.
[27] Wei Jiang, Yufeng Pei, On the structure of Verma modules over W-algebra W(2,2), J. Math. Phys., 51(2010), 022203.
[28] Yufeng Pei, Naihong Hu, Marc Rosso, Multi-parameter quantum groups and quantum shuffles (I), Contemporary Math., 506 (2010), 145-172.
[29] Shoulan Gao, Cuipo Jiang,Yufeng Pei, Structure of the extended Schr?dinger-Virasoro Lie algebra, Algebra Colloq., 16 (2009), 549-566.
[30] Shoulan Gao, Cuipo Jiang, Yufeng Pei, Derivations, central extensions and automorphisms of a Lie algebra, Acta. Math. Sinica Chinese Series, 52 (2009), 281-288.
[31] Naihong Hu, Yufeng Pei, Dong Liu, A cohomology characteristion of Leibniz central extensions of Lie algebras, Proc. Amer. Math. Soc., 136 (2008), 437-447.
[32] Naihong Hu,Yufeng Pei, Notes on two-parameter quantum groups (I), Science in China Ser A:Math., 50(2) (2008), 1-11.
出版著作
[1]陈跃、裴玉峰,高等代数与解析几何(上、下)科学出版社2019 。
(勘误表:高代与解析几何勘误表(2020-12-24).pdf)
科研项目
上海市教育考试院横向项目:高考数学智能阅卷系统研发与总体方案设计(第一期) 2020.1-2020.12,主持.
国家自然科学基金面上项目,**,顶点代数和无限维李代数表示理论中的若干问题,2020.01-2023.12,主持;
上海市自然科学基金,16ZR**,量子顶点代数及其表示理论,2016.06-2019.06,主持
国家自然科学基金面上项目,**,几类无限维李代数与超共形代数的研究,2014.01-2017.12,参与;
国家自然科学基金青年科学基金项目,**,二维曲面上的无穷维李代数的结构和表示,2012.01-2014.12,主持;
国家自然科学基金面上项目,**,Virasoro代数及相关代数的结构与表示理论,2014.01-2017.12,,参与;
上海自然科学基金面上项目,11ZR**,无穷维李代数的上同调和表示,2012.03-2014.04,主持;
国家自然科学基金天元,**,几类无穷维李代数的上同调和表示理论,2011.01-2011.12, 主持
主讲课程
(1)高等代数与解析几何I、II、III;
(2)高等代数选讲;
(3)近世代数。
(以下信息源于科研管理系统)
学术成果:
教学工作:教职工课程信息
开课学年 开课学期 课程名称
2020-2021 1 高等代数与解析几何Ⅲ
2019-2020 2 高等代数与解析几何II
2019-2020 1 高等代数与解析几何I
荣誉奖励:
社会兼职:1.中国民主促进会上海师范大学委员会 副主委 (2015-)
2.中国民主促进会上海师范大学委员会第三支部 主委 (2017-2020)