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Quasi-Hamiltonian mechanics associated to representations of Lie algebras |
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| Authors: | Boris A. Kupershmidt |
| Affiliation: | a The University of Tennessee Space Institute, Tullahoma, TN 37388, USA b Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA |
| Abstract: | For relative classical mechanics we construct a quasi-hamiltonian formalism associated to special representations of Lie algebras. This formalism is natural. For the case of the adjoint representation, this construction reduces to the usual absolute hamiltonian formalism on the dual spaces to Lie algebras. |
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