陈正新

发布者:系统管理员发布时间:2014-05-27浏览次数:4946

陈正新

      

办公室    理工楼北楼412

E-mail   czxing@163.com

通讯地址: 福建省福州市大学城科技路1号福建师范大学旗山校区理工楼(350117) 

研究兴趣:有限维结合代数的表示、李代数的结构与表示


个人简介

 男,19765月生, 湖北蕲春人,博士,教授,博士生导师。


个人经历 

 工作经历:

2021/07- 至今,福建师范大学,数学与统计学院,教授

2017/07-2021/06,福建师范大学,数学与信息学院,教授

2014/01-2017/06,福建师范大学,数学与计算机科学学院,教授

2008/09-2013/12, 福建师范大学,数学与计算机科学学院,副教授

2005/09-2008/08, 福建师范大学,数学与计算机科学学院,讲师

1996/08-1999/08, 湖北省蕲春县第三高中,数学教师

 

教育经历

2002-9  2005-6在厦门大学攻读基础数学专业博士研究生,获理学博士学位

1999-09  2002-06在安徽大学攻读基础数学专业硕士研究生,获理学硕士学位

 

教学

 主讲过的本科生课程:高等代数、近世代数、寿险精算、高等数学、线性代数

主讲过的研究生课程:代数学、同调代数、有限维结合代数的表示、有限维单李代数、三角范畴与导出范畴、倾斜理论、代数拓扑

指导研究生情况:20099月起开始招收硕士研究生,已毕业学术类硕士研究生9名,专业类硕士生4名,现有在读学术硕士生2名。自20189月起开始招收博士研究生,已毕业博士研究生1名,现有在读博士研究1名。

  

科研

 项目:

1. 利用Ringel-Hall 代数实现和研究若干李代数的结构国家自然科学基金面上项目(11871014),53万元主持人,  2019.01.01-2022.12.31.

2、代数表示理论与李代数之间联系的若干研究,国家自然科学基金青年项目(11101084),23万元主持人, 2012.01.01-2014.12.31.

3随机李代数的结构, 福建省自然科学基金面上项目( 2020J01162),5万元,主持人, 2020.08.01-2023.07.31.

4有限维复单李代数及其子代数的局部自同构和局部导子,福建省自然科学基金面上项目(2016J01006),3万元,主持人,2016.04.01-2019.04.30.

5、利用代数表示论实现李双代数,福建省自然科学基金面上项目(2013J01005), 3万元主持人, 2013.01.01-2015.12.31.

6、有限维代数的表示理论与椭圆李代数福建省自然科学基金青年创新项目(2009J05005),  3万元主持人, 2009.03.01-2012.03.01.

7、基于自同构群的有限群的固定集和固定数问题,国家自然

科学基金面上项目(11971474),排名第三,

2020.01.01-2023.12.31.

8、典型群及其相关代数结构上几类图的自同构群及自同态半群,国家自然科学基金项目面上项目(11571360),排名第二, 2016.01.01-2019.12.31.

 

9、导出范畴的若干问题及应用研究,国家自然科学基金面上项目(11071040), 排名第四,2011.01.01-2013.12.31.

 

 

代表性科研论文:

1. Zhengxin Chen,Yanan Lin. Tubular algebras and affine Kac-Moody algebras, Science in China (Series A), 2007,  50 (4):521-532. 

2. Zhengxin Chen, Qinghua Chen.  Triangular 

3. Dengyin Wang Wei Zhang Zhengxin Chen. Product zero derivations of the parabolic subalgebras of simple Lie algebras. Journal of Lie Theory,  2010, 20: 167-174.

4. Zhengxin Chen, Dengyin Wang. Non-linear maps satisfying derivability on standard parabolic subalgebras of finite-dimensional simple Lie algebras, Linear and Multilinear Algebras, 2011,59(3):  261-270. 

5.  Zhengxin Chen, Dengyin Wang. Derivations of certain nilpotent  Lie algebras over commutative ringsCommunications in Algebra2011 3910: 3736-3752. 

6. Dengyin Wang, Zhengxin Chen. Quasi-automorphisms of Lie algebras. Communication in Algebra 2011397:  2388-2395. 

7. Dengyin Wang, Yanxian Zhao, Zhengxin Chen, Non-linear maps on simple Lie algebras preserving Lie  products, Communications in Algebra, 2011,  39(2): 424-434. 

8. Dengyin Wang, Zhengxin Chen, Invertible linear maps on simple Lie algebras preserving commutativity, Proceedings of American Mathematics  Society2011139: 3881-3893. 

9. Dengyin Wang, Xiaoxiang Yu, Zhengxin Chen, A class of zero product determined Lie algebras, Journal of  Algebra, 2011, 331:  145-151.

10.Zhengxin Chen. Automorphisms and derivations of certain solvable Lie algebras over commutative rings.  Communications in Algebra2012 402: 738-769. decomposition of composition algebras of domestic canonical algebras, Communications in Algebra, 2009, 37(8): 2785-2803.  

11. Zhengxin Chen Zhankui Xiao. Nonlinear Lie triple derivations on parabolic subalgebras of finite-dimensional simple Lie algebras. Linear and Multilinear Algebras,  2012, 60(6):  645-656.

12. Dengyin Wang, Xiaoxiang Yu, Zhengxin Chen, Maps determined by action on square-zero elements,  Communications in Algebra, 2012, 40(11): 4255-4262.  

13. Zhengxin Chen, Dengyin Wang. Nonlinear maps  satisfying derivability on  parabolic subalgebras of the general linear  Lie algebras,  Linear and Multilinear Algebras, 2012, 60: 149-157.

14. Zhengxin Chen, Yanan Lin.  A  realization of elliptic Lie algebras of type  F_4^{(2,2)} by the Ringel-Hall approach,   Journal of Algebra, 2012,  350:  108-131.

15. Zhengxin Chen. Generalized derivations on parabolic subalgebras of general linear algebras, Acta Mathematica Scientia, 2014, 34B(3):  814-828.

16. Zhengxin Chen. Canonical algebras of type  (n1, n2, n3) and Kac-Moody algebras, Communications in Algebra, 2014, 42(8): 3297-3324. 

17. Zhengxin Chen,  Bing Wang.   Commuting derivations and automorphisms of certain nilpotent Lie algebras over commutative rings, Communications in Algebra, 2015, 43(5): 2044-2061.

18. Zhengxin Chen, Dengyin Wang. 2-local automorphisms of  finite- dimensional simple Lie algebras, Linear  Algebra and its Applications, 2015, 486: 335-344. 

19. Zhengxin Chen. Biderivations and linear commuting maps  on    simple generalized Witt algebras over a field,   Electronic Journal of Linear Algebra, 2016, 31: 1-12.

20. Jinjing Chen, Zhengxin Chen. A class of simple Lie algebras attached to unit forms, Frontiers of mathematics in China, 2017, 12(4): 787803.

21. Zhengxin Chen, Houjin Liu. Strong commutativity preserving maps of strictly triangular matrix Lie algebras, Journal of Algebra and its application,   2019(7), 1950134(15 pages).   

22. Zhengxin Chen. Nonlinear anti-commuting   maps  of strictly triangular matrix Lie algebras. Operators and Matrices, 2019, 13(1): 301-310.  

23. Zhengxin Chen, Chundan Zhu. Commuting automor- phisims of the group consisting of the unit triangular matrices. Houston Journal of Mathematics, 2019, 45(3): 647-658. 

24. Yalong Yu, Zhengxin Chen. Local derivations on Borel subalgebras of finite-dimensional simple Lie algebras, Communications in Algebra, 2020, 48(1): 1-10.

25. Zhengxin Chen, Yalong Yu. Regular Hom-Lie structures on Borel subalgebras of finite-dimensional simple Lie algebras,Communications in Algebra,  2020, 48(5):  2065–2071.

26.Zhengxin Chen,Yu’e Zhao. Strong commutativity preserving maps of upper triangular matrix Lie algebras over commutative ring. Bulletin of  Korean Mathetical Society, 2021, 58 (4): 973–981.

27. Zhengxin Chen, Yalong Yu. Regular Hom-Lie   structures on  strictly upper triangular matrix Lie algebras. Journal of Algebra and Its Applications, 2022,21(4) 2250081.

28. Zhengxin Chen, Yalong Yu. Biderivations and strong commutativity- preserving maps on parabolic subalgebras of  simple Lie  algebras. Linear and Multilinear Algebra, 2022, 70(14): 2659–2671.

29. Zhengxin Chen,Yu Wang. Triple derivations on parabolic subalgebras of  Kac-Moody algebras.  Communications in Algebra, 2022, 50(9):  4109–4115.  

30. Zhengxin Chen, Yu Wang. Skew-symmetric biderivations and linear commuting maps of Kac-Moody algebras. Linear and Multilinear Algebra, 2023,71(5): 867-874.