Graded Lie algebras, representation theory, integrable mappings, and integrable systems

被引：14
|
作者：
Leznov, AN [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Cuernavaca 62191, Morelos, Mexico
[2] Inst High Energy Phys, Protvino, Moscow Oblast, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2000年 / 122卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1007/BF02551198
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new lass of integrable mappings and chains is introduced. The corresponding 1+2 integrable that are invariant under such integrable mappings are presented in an explicit form. Soliton-type solutions of these systems are constructed in terms of matrix elements of fundamental representations of semisimple A(n) algebras for a given group element. The possibility of generalizing this construction to the multidimensional case is discussed.
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页码：211 / 228
页数：18
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