SOME EXPANDING SEMI-DIRECT SUMS OF LIE ALGEBRA (G)over-bar AND ITS APPLICATION

被引：1

作者：

Chang, Hui ^{[1
,2
]}

Chang, Shuangling ^{[2
,3
]}

Zhang, Yu ^{[2
,3
]}

机构：

[1] Qingdao Binhai Univ, Qingdao 266510, Peoples R China

[2] Beijing Wuzi Univ, Beijing 101149, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2008年 / 22卷 / 32期

关键词：

Lattice equation; integrable coupling; Lie algebra;

D O I：

10.1142/S0217984908017746

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Based on the fundamental special Lie algebra (G) over bar, some semi-direct sums are presented. Than, a new semi-direct sum Lie algebra (G) over bar (1) is constructed. The method presented in this paper can be used to obtain other higher-dimensional Lie algebra. Making use of the above Lie algebra, three integrable couplings of the new Bargmann type lattice hierarchy are obtained.

引用

页码：3215 / 3225

页数：11

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