Two explicit realizations of a Lie algebra

被引：1

作者：

Zhang, Yufeng ^{[1
]}

Tam, Honwah ^{[2
]}

机构：

[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China

[2] Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 05期

基金：

美国国家科学基金会;

关键词：

INTEGRABLE COUPLINGS; HAMILTONIAN-STRUCTURE; CONSERVATION LAWS; HIERARCHY; EQUATION; IDENTITY; SYSTEMS; SOLITON;

D O I：

10.1016/j.chaos.2008.08.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a Lie algebra whose some properties are discussed, including its proper ideals, derivations and so on. Then, we again give rise to its two explicit realizations by adopting subalgebra of the Lie algebra A(2) and a column-vector Lie algebra, respectively. Under the frame of zero curvature equations, we may use the realizations to generate the same Lax integrable hierarchies of evolution equations and their Hamiltonian structure. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2241 / 2245

页数：5

共 50 条

[21] Indecomposable representations and oscillator realizations of the exceptional Lie algebra G2
Huang, Hua-Jun
Li, You-Ning
Ruan, Dong
EUROPEAN PHYSICAL JOURNAL PLUS, 2013, 128 (06):
[22] CANONICAL REALIZATIONS OF LIE-ALGEBRA SP(2N,R)
HAVLICEK, M
LASSNER, W
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1976, 15 (11) : 867 - 876
[23] Constructions of minimal realizations of a simple Lie algebra of type G(2) by deformation
Cahen, B
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 323 (08): : 853 - 857
[24] Explicit formulae for the Casimir Operators of semidirect products of a Heisenberg Lie Algebra and the simple Lie Algebra sl(2, C)
Campoamor-Stursberg, R
ACTA PHYSICA POLONICA B, 2004, 35 (08): : 2059 - 2067
[25] Construction of minimal realizations of a simple Lie algebra of type G2 by deformation
Comptes Rendus L'Acad Sci Ser I Math, 8 (853):
[26] Realizations of the four point affine Lie algebra sl(2, R) ⊕ (ΩR/dR)
Cox, Ben
PACIFIC JOURNAL OF MATHEMATICS, 2008, 234 (02) : 261 - 288
[27] P-twisted affine Lie algebra and its realizations by twisted vertex operators
Lu, KP
Chu, YJ
Zheng, ZJ
Dong, WF
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 48 (Suppl 1): : 295 - 305
[28] REALIZATIONS OF THE THREE-POINT LIE ALGEBRA sl(2, R) ⊕ (ΩR/dR)
Cox, Ben
Jurisich, Elizabeth
PACIFIC JOURNAL OF MATHEMATICS, 2014, 270 (01) : 27 - 47
[29] P-twisted affine Lie algebra and its realizations by twisted vertex operators
LU Keping
USTC Shanghai Institute for Advanced Studies
Science China Mathematics, 2005, (S1) : 295 - 305
[30] THE EXPLICIT FORM OF THE LIE-ALGEBRA OF WAHLQUIST AND ESTABROOK - A PRESENTATION PROBLEM
VANECK, HN
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1983, 86 (02): : 149 - 164

← 1 2 3 4 5 →