Bijective maps on standard Borel subgroup of symplectic group preserving commutators

Bijective maps on standard Borel subgroup of symplectic group preserving commutators

导出

摘要 Abstract Let F be a field, and let G be the standard Borel subgroup of the symplectie group Sp（2m, F）. In this paper, we characterize the bijective maps φ： G -- G satisfying φ[x, y] = [φ（x）, φ（y）]. Abstract Let F be a field, and let G be the standard Borel subgroup of the symplectie group Sp（2m, F）. In this paper, we characterize the bijective maps φ： G -- G satisfying φ[x, y] = [φ（x）, φ（y）].

作者 Shikun OU

机构地区 Faculty of Science

出处《Frontiers of Mathematics in China》 SCIE CSCD 2012年第3期497-512,共16页 中国高等学校学术文摘·数学（英文）

关键词 Preserver map map preserver commutators matrix group Preserver map, map preserver commutators, matrix group

分类号 O157.5 [理学—基础数学] U472.9 [机械工程—车辆工程]

引文网络
相关文献

参考文献1

1Wang DengYin,Ou ShiKun,Zhang Wei.Bijective maps preserving commutators on a solvable classical group[J].Science China Mathematics,2010,53(7):1721-1728. 被引量：3

二级参考文献8

1Li C K,Pierce S.Linear preserver problems[].The American Mathematical Monthly.2001
2Li C K,Tsing N K.Linear preserver problems: a brief introduction and some special techniques[].Linear Algebra and Application.1992
3Pierce S,et al.A survey of linear preserver problems[].Linear and Multilinear Algebra.1992
4Babich,M.,Bobenko,A.Willmore tori with umbilic lines and minimal surfaces in hyperbolic space[].Duke Mathematical Journal.1993
5BARIBEAU L,RANSFORD T.Non-linear spectrum-preserving maps[].Bulletin of the London Mathematical Society.2000
6M. Marcus.Linear Operations on Matrices[].American Journal of Mathematics.1962
7RADJAVI H,SEMRL P.Non-linear maps preserving solvability[].Journal of Algebra.2004
8P. Semrl.Non-linear commutativity preserving maps[].Acta Scientiarum Mathematicarum.2005

共引文献2

1卞洪亚,孔祥源,冯春贵.有限域上特殊线性群的保换位子映射[J].凯里学院学报,2011,29(6):1-4.
2赖璇,陈正新.可逆上三角矩阵群的交换自同构[J].福建师范大学学报（自然科学版）,2015,31(3):1-6.

1赵燕萍.比较法在物理实验中的应用[J].江西科学,2005,23(5):658-659. 被引量：2
2OU Shi Kun,WANG Deng Yin,XIA Chun Guang.Derivations of Certain Linear Lie Algebras over Commutative Rings[J].Journal of Mathematical Research and Exposition,2009,29(3):441-453. 被引量：1
3M.I.ALALI,C.H.HERING,J.SCH EFFER.On the Characters of the Maximal Subgroup <f_1>^(Sp_4(q)) of the Symplectic Group Sp_4(q), q-Even[J].Acta Mathematica Sinica,English Series,2001,17(4):621-630.
4HEQUN,SHENYIBING.ON HARMONIC MAPS INTO SYMPLECTIC GROUPS Sp(N)[J].Chinese Annals of Mathematics,Series B,2001,22(4):519-528. 被引量：5
5Yiming Long, Nankai Institute of Mathematics, Nankai University, Tianjin 300071, P. R. ChinaE-mail: longym@sun. nankai, edu. cn.Topological Structures of ω-subsets in Symplectic Groups[J].Acta Mathematica Sinica,English Series,1999,15(2):255-268. 被引量：3
6付玲勋,马俊峰.超声波车辆检测装置的研制与应用[J].公路交通科技,1992,9(2):33-39. 被引量：1
7FANHong-Yi,CHENJun-Hua.Symplectic Group Representation of the Two-Mode Squeezing Operator in the Coherent State Basis[J].Communications in Theoretical Physics,2003,40(5X):589-594.
8游宏,刘绍武.Linear Operators Preserving Symplectic Group over a Field Consisting of at Least Four Elements[J].Northeastern Mathematical Journal,2006,22(2):219-232.
9FAN Hong-Yi CHEN Jun-Hua.Coherent State Projection Operator Representation of Symplectic Transformations as a Loyal Representation of Symplectic Group[J].Communications in Theoretical Physics,2002(8):147-150.
10向宇,黄玉盈.基于复数矢径的波叠加法解声辐射问题[J].固体力学学报,2004,25(1):35-41. 被引量：24

Frontiers of Mathematics in China

2012年第3期

浏览历史

内容加载中请稍等...

Bijective maps on standard Borel subgroup of symplectic group preserving commutators

参考文献1

二级参考文献8

共引文献2

相关作者

相关机构

相关主题

浏览历史