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

页码：261 / 282

页数：22

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