李超三系的分解唯一性

Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1058-1066.

• Articles • Previous Articles Next Articles

The Uniqueness of the Decomposition of Lie Supertriple Systems

Pan Yuxia|Zhang Qingcheng

(School of Mathematics and Statistics, Northeast Normal University, Changchun 130024)

Received:2006-01-09 Revised:2007-10-20 Online:2008-12-25 Published:2008-12-25
Contact: Pan Yuxia

Abstract

Abstract:

This paper first shows the decomposition of the center, the derivation superalgebras and inner derivation superalgebras respectively according to the decomposition of Lie supertriple systems. It maily consider the decomposition of Lie supertriple systems with trivial center and uniqueness and the extension of the automorphism of a Lie supertriple system.

Key words: Lie supertriple system, Decomposition, Indecomposable, Derivation, Automorphism

CLC Number:

17A40

Pan Yuxia|Zhang Qingcheng. The Uniqueness of the Decomposition of Lie Supertriple Systems[J].Acta mathematica scientia,Series A, 2008, 28(6): 1058-1066.

Trendmd

[1]	Zhu Zhifeng, Zhou Junchao, Huang Hong. Harris Recurrence of Continuous-Time Markov Process on General State Space [J]. Acta mathematica scientia,Series A, 2025, 45(4): 1245-1254.
[2]	Liang Juan, Guo Zunguang, Zhang Hongtao. Steady-State Bifurcation for a Vegetation Model with Shading Effect [J]. Acta mathematica scientia,Series A, 2025, 45(3): 875-887.
[3]	Li Lin,Liu Lingling,Yu Zhiheng. On Classification of Planar Cubic Polynomials [J]. Acta mathematica scientia,Series A, 2025, 45(2): 554-566.
[4]	Luo Xiaoyi, Han Huan, Zhang Yimin. Multi-scale Image Decomposition Based on ADI Format [J]. Acta mathematica scientia,Series A, 2024, 44(1): 160-172.
[5]	Li Wenxin,Lian Pan,Liang Yuxia. The Schödinger Uncertainty Relation in the Fock-Type Spaces [J]. Acta mathematica scientia,Series A, 2023, 43(5): 1321-1332.
[6]	Shi Yingchun, Lai Geng. Formation of Singularities in Solutions to Spherically Symmetric Relativistic Euler Equations for a Chaplygin Gas [J]. Acta mathematica scientia,Series A, 2023, 43(2): 481-490.
[7]	Xiaoji Liu,Mengyue Liao,Hongwei Jin. The Properties and Applications of the MP Weak Core Inverse [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1619-1632.
[8]	Yuxin Zhang,Wenting Hou,Xuelin Zhou,Jiaofen Li. A Hybrid Algorithm for Solving Truncated Complex Singular Value Decomposition [J]. Acta mathematica scientia,Series A, 2022, 42(6): 1898-1921.
[9]	Xiaochun Sun,Gangjing He. Long Time Existence of the Solutions for the Navier-Stokes-Coriolis Equations [J]. Acta mathematica scientia,Series A, 2022, 42(5): 1416-1423.
[10]	Fangjuan Zhang, Xinhong Zhu. Nonlinear ξ--Jordan-Type Derivations on -Algebras [J]. Acta mathematica scientia,Series A, 2022, 42(4): 1003-1017.
[11]	Chuanzhou Zhang,Tiantian Li,Fan Jiao. Atomic Aecompositions of $B$-Valued Weak Orlicz $\alpha$-Quasi-Martingale Spaces [J]. Acta mathematica scientia,Series A, 2022, 42(1): 9-17.
[12]	Fangjuan Zhang,Xinhong Zhu. Nonlinear $\xi$-Jordan *-Triple Derivable Mappings on Factor von Neumann Algebras [J]. Acta mathematica scientia,Series A, 2021, 41(4): 978-988.
[13]	Qionglin Liu,Yinghui Tang. Analysis of $M$/$G$/1 Queueing System for Single Server Vacation Without Interruption Under the Control of $D$-Policy [J]. Acta mathematica scientia,Series A, 2021, 41(1): 269-288.
[14]	Zhiheng Yu,Xiaobing Gong. Polynomial Solutions of the Polynomial-Like Iterative Equation [J]. Acta mathematica scientia,Series A, 2019, 39(6): 1352-1364.
[15]	Lihong Chen,Weigang Su. Generalized Kato Decomposition and Weyl Type Theorems [J]. Acta mathematica scientia,Series A, 2019, 39(3): 417-422.

The Uniqueness of the Decomposition of Lie Supertriple Systems

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10