Abstract
Introduction Cartan decomposition and the generalized elastic problems The maximum principle and the Hamiltonians The left-invariant symplectic form Symmetries and the conservation laws Part 2. Complex Lie groups and complex Hamiltonians: Complexified elastic problems Complex elasticae of Euler and its n-dimensional extensions Cartan algebras, root spaces and extra integrals of motion Elastic curves for the case of Lagrange Elastic curves for the case of Kowalewski Bibliography.
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