陈正新

发布时间：2014-05-27浏览次数：6965

陈正新

教授

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，1976年5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 至 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 至 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2009年9月起开始招收硕士研究生，已毕业学术类硕士研究生10名，专业类硕士生8名，现有在读学术硕士生2名,专业类硕士生10名。自2018年9月起开始招收博士研究生,已毕业博士研究生2名，现有在读博研究生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、N-th Schrodinger 代数的结构与表示，省基金面上项目（2024J01305）， 10万元，主持人， 2024.11.01-2027.11.01

4、N-th Schrödinger 李代数的局部映射与Hom-李代数结构, 福建省高校数学学科联盟科研项目（2023SXLMMS03）, 4万元，主持人,2023.12.1-2026.11.30

5、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.

6、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.

7、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.

8、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.

9、GLS代数的表示理论与相关猜想,国家自然科学基金项目（12471035），排名第三，2025.1.1-2028.12.30.
10、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.

11、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.

12、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:

44. Yu Yalong, Chen Zhengxin, Zheng Wu.Biderivations of the gap-p Virasoro algebra, Journal of Algebra and Its Applications, Published Online.

43. Chen Zhengxin, Li Mengqi， Yalong Yu. Derivations, 1/2-derivations and transposed Poisson algebra structures of conformal Galilei algebras, Communications in Algebra, Published Online.

42. Chen Zhengxin, Li Mengqi. Hom-algebra structures and 2-cocycles of conformal Galilei algebras, Communications in Algebra, Published Online.

41. Chen Zhengxin, Li Mengqi. Derivations and biderivations of oscillator algebras, Journal of Algebra and Its Applications, Published Online.

40. Chen Zhengxin, Yu Yalong. Local δ-derivations of n-th schrodinger algebras, Journal of Algebra and Its Applications, Published Online.

39. Yu Wang,Zhengxin Chen.δ-(bi)derivations and transposed Poisson algebra structures on the n-th Schrödinger algebra, Journal of Algebra and Its Applications,2025，2550328.

38. Yu Wang, Zhengxin Chen, Meixiang Chen. 2-cocycle of the the n-th Schrödinger algebra, Communications in Algebra, 2025, 53（12），5024-5033.

37. Hongjin Liu,Zhengxin Chen. Biderivations of the Mirror Heisenberg-Virasoro Algebra， Journal of Algebra and Its Applications, 2025, 24（10）， 2550244.

36. Hongjin Liu, Zhengxin Chen. Derivations and biderivations of the non-square linear Lie algebra gl(m×n, F), Communications in Algebra, 2025, 53(2): 489-508.

35. Zhengxin Chen, Yu Wang. U(\eta)-modules ofn-th schrodinger algebra, Communications in Algebra, 2024, 52(3): 1283-1289.
34. Zhengxin Chen, Yu Wang .The automorphism group and fixing number of the orthogonality graph of the full matrix ring, Journal of Algebra and its Application, 2023， 22，2350150.

33.Zhengxin Chen, Yu Wang .Quasi-Whittaker modules for the n-th Schrödinger algebra. Linear Algebra and its Applications, 2023, 67: 51–70

32. Zhengxin Chen, Yu Wang. Zero product determined n-th Schrödinger Algebra. Linear Algebra and its Applications, 679 (2023) 165–193.

31. Zhengxin Chen, Yu Wang. Derivations and biderivations of the n-th Schrödinger algebra, Communications in Algebra, 2023, 51(3): 1049-1062.

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.

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

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.

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.

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.

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.

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

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.

22. Zhengxin Chen. Nonlinear anti-commuting maps of strictly triangular matrix Liealgebras. Operators and Matrices, 2019.13(1): 301-310.

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).

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.

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.

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

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.

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

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

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.

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.

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

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.

10.Zhengxin Chen. Automorphisms and derivations of certain solvable Lie algebras over commutative rings. Communications in Algebra，2012， 40（2）: 738-769.

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

8. Dengyin Wang, Zhengxin Chen, Invertible linear maps on simple Lie algebras preserving commutativity, Proc. Amer. Math. Soc.，2011, 139(2011),3881-3893.

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.

6. Dengyin Wang, Zhengxin Chen. Quasi-automorphisms of Lie algebras. Communication in Algebra， 2011，39（7）: 2388-2395.

5. Zhengxin Chen, Dengyin Wang. Derivations of certain nilpotent Lie algebras over commutative rings，Communications in Algebra，2011， 39（10）: 3736-3752.

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.

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.

2. Zhengxin Chen, Qinghua Chen. Triangular decomposition of composition algebras of domestic canonical algebras, Communications in Algebra, 2009, 37(8): 2785-2803.

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