DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

doi:10.1016/S0252-9602(08)60093-4

数学物理学报(英文版)

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

张庆成; 张永正

东北师范大学与统计学院, 长春 130024

收稿日期:2005-12-28 修回日期:2006-12-26 出版日期:2008-10-20 发布日期:2008-10-20
通讯作者: 张庆成
基金资助:
Supported by National Natural Science Foundation of China (10271076)

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

Zhang Qingcheng; Zhang Yongzheng

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2005-12-28 Revised:2006-12-26 Online:2008-10-20 Published:2008-10-20
Contact: Zhang Qingcheng

摘要/Abstract

摘要：

In this article, the authors obtain some results concerning derivations of finitely generated Lie color algebras and discuss the relation between skew derivation space SkDer(L) and central extension H²(L, F) on some Lie color algebras. Meanwhile, they generalize the notion of double extension to quadratic Lie color algebras, a sufficient condition for a quadratic Lie color algebra to be a double extension and further properties are given.

关键词: Derivation, central extension, double extension, quadratic Lie color algebra

Abstract:

Key words: Derivation, central extension, double extension, quadratic Lie color algebra

中图分类号:

17B40

张庆成; 张永正. DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA[J]. 数学物理学报(英文版), 2008, 28(4): 933-948.

Zhang Qingcheng; Zhang Yongzheng. DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA[J]. Acta mathematica scientia,Series B, 2008, 28(4): 933-948.

[1]	薛天娇, 安润玲, 侯晋川. CHARACTERIZATION OF DERIVATIONS ON B(X) BY LOCAL ACTIONS[J]. 数学物理学报(英文版), 2017, 37(3): 668-678.
[2]	Hoger GHAHRAMANI. ADDITIVE MAPS ON SOME OPERATOR ALGEBRAS BEHAVING LIKE (α, β)-DERIVATIONS OR GENERALIZED (α, β)-DERIVATIONS AT ZERO-PRODUCT ELEMENTS[J]. 数学物理学报(英文版), 2014, 34(4): 1287-1300.
[3]	陈正新. GENERALIZED DERIVATIONS ON PARABOLIC SUBALGEBRAS OF GENERAL LINEAR LIE ALGEBRAS[J]. 数学物理学报(英文版), 2014, 34(3): 814-828.
[4]	张庆成, 魏竹, 褚颖娜, 张永平. SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS[J]. 数学物理学报(英文版), 2014, 34(2): 313-330.
[5]	S. Khalid NAUMAN, Nadeem ur REHMAN, R. M. AL-OMARY. LIE IDEALS, MORITA CONTEXT AND GENERALIZED (α, β)-DERIVATIONS[J]. 数学物理学报(英文版), 2013, 33(4): 1059-1070.
[6]	Ali Ebadian, Ismail Nikoufar, Themistocles M. Rassias, Norouz Ghobadipour. STABILITY OF GENERALIZED DERIVATIONS ON HILBERT C*-MODULES ASSOCIATED WITH A PEXIDERIZED CAUCHY-JENSEN TYPE#br# FUNCTIONAL EQUATION[J]. 数学物理学报(英文版), 2012, 32(3): 1226-1238.
[7]	M. Eshaghi Gordji, A. Najati, A. Ebadian. STABILITY AND SUPERSTABILITY OF JORDAN HOMOMORPHISMS AND JORDAN DERIVATIONS ON BANACH ALGEBRAS AND C*-ALGEBRAS: A FIXED POINT APPROACH[J]. 数学物理学报(英文版), 2011, 31(5): 1911-1922.
[8]	廖军, 郑大彬, 刘合国. TOWERS OF DERIVATION FOR LIE RINGS AND SOME RESULTS ON COMPLETE LIE RINGS[J]. 数学物理学报(英文版), 2010, 30(5): 1769-1775.
[9]	A. J.Calderon Martí, C.Martín González. THE BANACH-LIE GROUP OF LIE TRIPLE AUTOMORPHISMS OF AN \|H*-ALGEBRA[J]. 数学物理学报(英文版), 2010, 30(4): 1219-1226.
[10]	陈良云; 孟道骥. SOME RESULTS OF MODULAR LIE SUPERALGEBRAS[J]. 数学物理学报(英文版), 2006, 26(3): 401-409.
[11]	张庆成, 张永正. DERIVATION ALGEBRAS OF THE MODULAR LIE SUPERALGEBRAS W AND S OF CARTAN-TYPE[J]. 数学物理学报(英文版), 2000, 20(1): 137-144.
[12]	张永正, 王颖. ON THE LIE ALGEBRA Σ OVER CHARACTERISTIC TWO OF SHEN GUANGYU[J]. 数学物理学报(英文版), 1996, 16(S1): 117-125.

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

DERIVATIONS AND EXTENSIONS OF LIE COLOR ALGEBRA

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

Metrics

本文评价

推荐阅读 0