姓名 南基洙

院系 数学科学学院

办公电话 84708351-8131

电子信箱 jznan@163.com

更新时间 2010-7-8

工作经历：

1987年7月毕业于东北师范大学数学系;

1987年7月至1997年11月在解放军农牧大学工作,历任助教、讲师;

1992年7月毕业于东北师范大学数学系,获理学硕士学位;

1997年7月毕业于哈尔滨工业大学数学系,获理学博士学位;

1997年11月至2000年3月,在吉林大学数学研究所从事博士后研究工作;

1997年至2004年在东北师范大学数学系工作,历任讲师、副教授和教授（博导）;

现在大连理工大学数学科学学院工作,教授（博导）.

社会兼职：

欧洲数学会会员,Z. Math.,评论员.

美国数学会会员,Math. R.,评论员.

中国高等教育学会教育数学专业委员会常务理事.

 

研究领域（研究课题） ：

群的不变式理论、典型群和代数K-理论、矩阵几何学、编码学和实验设计.

硕博研究方向：

代数学及其应用

出版著作和论文：

发表的代表性论文

 

1.Jizhu Nan, Jun Guo，New error-correcting pooling designs associated with finite vector spaces，J. Comb. Optim.，in press,P1-5.

2.Jizhu Nan，Jun Guo,Suogang Gao，Subspaces in d-bounded distance-regular graphs and authentication code with perfect，Ars Combinatoria,in press,P1-13.

3.Jizhu Nan, Yufang Qin, On Invariants of Some Maximal Subgroups of Finite Classical Groups, Algebra Colloquium,in press，P1-10.

4.Jizhu Nan, Jun Guo, Lattices generated by two orbits of subspaces under finite singular classical groups, Comm.Algebra,38,2026-2036,2010.

5.Jizhu Nan, Yufang Qin, Structure of Unitary Groups over Finite Group Rings and Its Application, Czechoslovak Mathematical Journal,60(135)，495-512,2010.

6.Nan Jizhu, Zhao Jing, Classification of the finite n-generator transvection groups over ,Advances in Applied Mathematics，44，185-202,2010.

7.Ji Zhu Nan, Xiao Er Qin, The Poincar′e Series of Relative Invariants of Finite Pseudo-Reflection Groups, J.Mathematical Research & Exposition, 30(2), 338-344, 2010.

8.Jizhu Nan, Jing Zhao, A non-classical construction of BN-pairs, J.Group Theory, 12(6),831-844,2009.

9.Jun Guo, Jizhu Nan, Lattices generated by orbits of flats under finite affine- symplectic groups, Lin.Alg.Appl.,431，536-542，2009.

10.J.Zhao,J.Yuan and Nan Jizhu, The construction of symplectic involutions over finite field with CharF = 2 and its applications, Chin. Quart. J. of Math., 24 (2),173-184,2009.

11.Nan Jizhu, Chen Yin, Rational Invariants of Certain Classical Similitude Groups over Finite Fields, Indiana University Mathematics Journal, 57, No.4, 1947-1958,2008.

12.Nan Jizhu, Chen Yin, Rational Invariants of Certain Classical Groups over Finite Fields, Front Math. China, 3(4),555-562,2008.

13.Zhao Huifang, Nan Jizhu, Using Normal Form of Idempotent Matrices over to Construct Cartesian Authentication Codes,Northeast.Math.J.,2,123-131, 2007.

14.Nan Jizhu, You Hong, Products of Involutions in Steinberg Group over Skew Fields, Chinese Ann.Math.,(B),2,253-264,2007.

15.Fu Zhiguo, Nan Jizhu, The length of the element of maximal length in the Coxeter system, Northeast.Math.J.,4,395-403,2006.

16.Liu Yan, Nan Jizhu, Some Anzahl Theorems in Symmetric Matrices Over Finite Local Rings (I), J.Mathematical Research & Exposition,3,423-439,2006.

17.吴炎,南基洙, 环 上 阶交错矩阵的计数定理及其应用, 数学物理学报, 3,319-328,2004.

18.Nan Jizhu, Tian Zide, The -groups over finite commutative rings, Northeast. Math.J.,18(2),99-102,2002.

19.南基洙,游宏, 利用有限域上非零向量的道路图结构与内积构作结合方案(Ⅱ),数学物理学报, 21卷(1),14-22,2001.

20.Nan Jizhu, You Hong, The conjugacy classes of fixed point free element in GLn(F) and SLn(F), Lin.Alg.Appl.,305, 161-171,2000.

21.Nan Jizhu, Decomposition of Steinberg group over local ring into involutions, Bulletin of The Australian Mathematical Society, Vol.61,97-107, 2000.

22.Hong You and Jizhu Nan, The Conjugacy Classes of Fixed Point Free Elemenes of Order p or 2p in GLn（F）and SLn（F）,Communications in Algebra, 27(5), 2243-2252, 1999.

23.南基洙,游宏,利用有限域上非零向量的道路图结构与内积构作结合方案,应用数学,12卷,2期：121-128,1999.

24.Zhang Yongzheng, Nan Jizhu, Finite dimensional Lie superalgebras W(m,n,t) and S(m,n,t) of Cartan type, Advances in Mathematics, 27(3),240-246,1998.

25.Nan Jizhu, You Hong,The Conjugacy Classes of Fixed Point Free Elemenes of Order pm in GLn（F）and SLn（F）,GROUP THEORY,E-fang Wang and Jiping Zhang（Eds）, Springer-Verlag,106-119,1998.

26.You Hong, Nan Ji Zhu, Using normal form of matrices over finite fields to construct Cartesian Authentication Codes, J.Mathematical Research & Exposition, 18(3):341-346,1998.

27.游宏,南基洙,Steinberg群的对和分解,科学通报,42卷,2272-2275,1997.

27*. You Hong and Nan Jizhu, Decomposition of Steinberg group into involutions, Chinese Science Bulletin, Vol.42(24), 2061-2064,1997.

28. 南基洙,利用有限局部环Z/PZ上的2阶交错矩阵构作多个结合类的结合方案, 数学研究与评论, 06,No.1,1997.

29. Nan Jizhu, Zhang Yongzheng, Products of nilpotent matrices over skew fields, Northeast. Math. J., 12(3),299-306,1996.

30. Nan Jizhu，Zhang Yongzheng, The triangular factorization for elements of φ—surjective rings, J.Math.Res.Exposition, 16(2),173--178.1996.

31.You Hong and Nan Jizhu, Some anzahl theorems in vector space over Z/pkZ, Acta Mathematica Scientia, 16(1), 81-88,1996.

32．游宏,南基洙,利用Z/PZ上矩阵构作多个结合类的结合方案与PBIB设计,应用数学学报, No.3:418,1996.

33．南基洙,极空间的注记,数学的实践与认识,No.2：48,1996.

34．南基洙,高锁钢,有限局部环Z/PZ上辛几何中计数定理,数学杂志,No,2：314,1996.

35. Nan Ji Zhu, Zhang Yong Zheng, A factorization theorem for matrices over a local

ring. Northeast. Math. J.,No.3,377--381,1994.

36. You Hong, Nan Ji Zhu,Decomposition of matrices into 2-involutions, Lin.Alg.

Appl.,186,235-253,1993.

 

 

 

出版的教材

1．南基洙,初等数论,中央广播电视大学出版社,2002.

2．南基洙,大学数学文化,大连理工大学出版社,2008.

3．南基洙,组合数学,高等教育出版社,2008.

4．南基洙,域和Galois理论,科学出版社,2009.

科研成果及所受奖励：

宝钢教育基金优秀教师奖,2007.

在读学生人数 ：

在读博士研究生：5人,硕士研究生：6