个人资料
- 直属机构：数学科学学院
- 联系电话：
- 性别：男
- 电子邮箱：yatsai@suda.edu.cn
- 专业技术职务：
- 办公地址：维格堂402
- 毕业院校：中国科学技术大学
- 通讯地址：
- 学位：博士
- 邮编：
- 学历：博士
- 传真：
教育经历
教育经历：
- 本科,2006.9-2010.7,数学与应用数学,中国科学技术大学,学士,2010.7,数学与应用数学,中国科学技术大学
- 博士,2010.9-2016.3,基础数学,中国科学技术大学,博士,2016.4,基础数学,中国科学技术大学
工作经历
工作经历：
- 2013.9-2015.9,Wilfrid Laurier University,联合培养博士生
- 2016.3-2018.3,中国科学院数学与系统18新利备用网站 院,博士后
- 2018.3-2021.7,18新利体育 数学科学学院,优秀青年学者(讲师)
- 2021.7-,18新利体育 数学科学学院,优秀青年学者(副教授)
个人简历
个人简介：
研究领域
研究领域：
李(超)代数及其表示
开授课程
开授课程：
课程教学：
- 1、线性代数,2018.3-2018.7
- 2、数学分析I习题课,2018.9-2019.1
- 3、线性代数,2018.9-2019.1
- 4、数学分析II习题课,2019.2-2019.7
- 5、高等数学(二)上,2019.9-2020.1
- 6、Galois理论,2019.9-2020.1
- 7、高等数学(一)下,2020.2-2020.7
- 8、交换代数,2020.2-2020.7
- 9、复半单李代数导引,2020.2-2020.7
- 10、线性代数,2020.9-2021.1
科研项目
科研项目：
- 1、电子李代数的结构与表示理论,2019.1-2021.12,国家自然科学基金青年项目,11801390
- 2、2019.1-2020.12,江苏省创新创业博士
论文
论文：
- 1、Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra,Journal of Pure and Applied Algebra,2022,Yan-an Cai,18新利体育 ,Rencai Lv,Rencai Lv,18新利体育 ,226/3
- 2、Structure and Representations for electrical Lie algebra of type $D_4$.,Journal of Lie Theory,2021,Dongfang Gao,Yan-an Cai,Jin Jiang,Yan-an Cai,31/4/1031-1044
- 3、Tensor product modules of U_q(sl_2) and Clebsch-Gordan type formulas,Forum Mathematicum,2021,Yan-an Cai,Hongjia Chen, Xiangqian Guo,Yao Ma, Mianmian Zhu,Xiangqian Guo,33/3/743-755
- 4、Weight modules over map (super)algebras related to the Virasoro algebra,Journal of Algebra,2021,Yan-an Cai,Rencai Lv,Yan Wang,Yan Wang,570/397-415
- 5、Classification of simple Harish-Chandra modules over the N=1 Ramond algebra,Journal of Algebra,2021,Yan-an Cai,Dong Liu,Rencai Lv,Rencai Lv,567/114-127,1
- 6、A class of new simple modules for sl_{n+1} and the Witt algebra,Journal of Algebra,2020,He, Yan,Cai, Yan-an,Lv, Rencai,Cai, Yan-an,541/415-435
- 7、New representations of affine Kac-Moody algebras,Journal of Algebra,2020,Cai, Yan-an,Tan, Haijun,Zhao, Kaiming,Tan, Haijun,547/95-115
- 8、Simple SingularWhittaker Modules Over the Schrodinger Algebra,Communications in Mathematics and Statistics,2019,Cai, Yan-an,Zhang, Xiufu,Zhang, Xiufu,7/4/475-483
- 9、Generalized Verma modules over sl(n 2) induced from u((h(n))-free sl(n 1)-modules,Journal of Algebra,2018,Cai, Yan-an,Liu, Genqiang,Jonathan,Nilsson; Zhao, Kaiming,Zhao, Kaiming,502/146-162
- 10、Kac-Moody代数在U(h)上的模结构,中国科学: 数学,2017,蔡延安,谭海军,赵开明,赵开明,47/1-24
- 11、Quasi-Whittaker modules over the confomral Galilei algebras,Linear & Multilinear Algebra,2017,Cai, Yan-an,Chen, Qiufan,Chen, Qiufan,65/3/313-324
- 12、Whittaker modules and quasi-Whittaker modules for the Euclidean Lie algebra e(3),Journal of Pure and Applied Algebra,2016,Cai, Yan-an,Shen, Ran,Zhang, Jiangang,Shen, Ran,220/4/1419-1433
- 13、Simple Harish-Chandra supermodules over the Schrodinger algebra,Science China-Mathematics,2015,Cai, Yan-an,Gao, Yun,Wang, Yongjie,Wang, Yongjie,58/12/2477-2488
- 14、Module structure on U(H) for basic Lie superalgebras,Toyama Mathematical Journal,2015,Cai, Yan-an,Zhao, Kaiming,Zhao, Kaiming,37/55-72
- 15、Modules over algebras related to the Virasoro algebra,International Jounral of Mathematics,2015,Chen, Qiufan,Cai, Yan-an,Cai, Yan-an,26/9/
- 16、Simple Harish-Chandra modules over super Schrodinger algebra in (1+1) dimensional spacetime,Journal of Mathematical Physics,2014,Zhang, Xiufu,Cai, Yan-an,Wang, Yongjie,Cai, Yan-an,55/9/
- 17、Quasi-Whittaker modules for the Schrodinger algebra,Linear Algebra and its Applications,2014,Cai, Yan-an,Cheng, Yongsheng,Shen, Ran,Shen, Ran,463/16-32
- 18、Imaginary modules over the affine Nappi-Witten algebra.,Acta Mathematica Sinica (English Series),2022,Yixin Bao,哈工大(深圳),Yan-an Cai,Yan-an Cai,18新利体育 ,38/5/1041-1053
科技成果
软件著作 软件著作： 专利 专利：
荣誉及奖励
荣誉及奖励：
招生信息
招生信息：
招生信息1：
- 1、严慧敏,2019硕