Special quasigraded lie algebras and integrable hamiltonian systems

被引：5
|
作者：
Skrypnyk, T. [1 ]
机构：
[1] NASU, Inst Math, Bogoliubov Inst Theroret Phys, UA-03143 Kiev, Ukraine
来源：
ACTA APPLICANDAE MATHEMATICAE | 2007年 / 99卷 / 03期
关键词：
quasigraded Lie algebras; integrable Hamiltonian systems;
D O I：
10.1007/s10440-007-9165-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a family of special quasigraded Lie algebras similar to g(F) of functions of one complex variables with values in finite-dimensional Lie algebra g, labeled by the special 2-cocycles F on g. The main property of the constructed Lie algebras similar to g(F) is that they admit Kostant-Adler-Symes scheme. Using them we obtain new integrable finite-dimensional Hamiltonian systems and new hierarchies of soliton equations.
引用
收藏
页码：261 / 282
页数：22
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