Casimirs and Lax Operators from the Structure of Lie Algebras

被引：0

作者：

Linton, Carol ^{[1
]}

Holderbaum, William ^{[1
]}

Biggs, James ^{[2
]}

机构：

[1] Univ Reading, Sch Syst Engn, Reading, Berks, England

[2] Univ Strathclyde, Dept Mech Engn, Glasgow, Lanark, Scotland

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2012年 / 5卷 / 04期

关键词：

Casimir invariants; Lax operators; structure constants; matrix Lie algebras; Poisson manifolds;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper uses the structure of the Lie algebras to identify the Casimir invariant functions and Lax operators for matrix Lie groups. A novel mapping is found from the cotangent space to the dual Lie algebra which enables Lax operators to be found. The coordinate equations of motion are given in terms of the structure constants and the Hamiltonian.

引用

页码：567 / 583

页数：17