TY - BOOK AU - Jurdjevic,Velimir TI - Integrable Hamiltonian systems on complex Lie groups T2 - Memoirs of the American Mathematical Society, SN - 9781470404390 (online) AV - QA3QA614.83 .A57 no. 838 U1 - 510 s512/.482 22 PY - 2005/// CY - Providence, R.I. PB - American Mathematical Society KW - Hamiltonian systems KW - Lie groups KW - Manifolds (Mathematics) N1 - "Volume 178, number 838 (second of 5 numbers)."; Includes bibliographical references (p. 132-133); 1. Introduction; 2. Cartan decomposition and the generalized elastic problems; 3. The maximum principle and the Hamiltonians; 4. The left-invariant symplectic form; 5. Symmetries and the conservation laws; 6. Complexified elastic problems; 7. Complex elasticae of Euler and its $n$-dimensional extensions; 8. Cartan algebras, root spaces and extra integrals of motion; 9. Elastic curves for the case of Lagrange; 10. Elastic curves for the case of Kowalewski; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0838 UR - http://dx.doi.org/10.1090/memo/0838 ER -