Casimirs and Lax Operators from the Structure of Lie algebras
Keywords:
Casimir invariants, Lax operators, structure constants, matrix Lie algebras, Poisson manifoldsAbstract
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.Downloads
Published
2012-11-07
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Section
Functional Analysis
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European Journal of Pure and Applied Mathematics will be Copyright Holder.
How to Cite
Casimirs and Lax Operators from the Structure of Lie algebras. (2012). European Journal of Pure and Applied Mathematics, 5(4), 567-583. https://ejpam.com/index.php/ejpam/article/view/1515