陈正新

发布者:韩伟发布时间:2014-05-27浏览次数:5629

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。

 

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:自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,现有在读博士研究生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 WangWei ZhangZhengxin 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 Algebra20113910: 3736-3752.

6. Dengyin Wang, Zhengxin Chen. Quasi-automorphisms of Lie algebras. Communication in Algebra2011397:  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 Algebra2012402: 738-769. decomposition of composition algebras of domestic canonical algebras, Communications in Algebra, 2009, 37(8): 2785-2803.  

11. Zhengxin ChenZhankui 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, Ya’nan 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): 787–803.

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, 485):  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 ChenYu Wang. Triple derivations on parabolic subalgebras of  Kac-Moody algebras.  Communications in Algebra, 2022, 509:  4109–4115.  

30. Zhengxin Chen, Yu Wang. Skew-symmetric biderivations and linear commuting maps of Kac-Moody algebras. Linear and Multilinear Algebra, 2023715: 867-874.