Integrable Hamiltonian systems on complex Lie groups

by Jurdjevic, Velimir

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Title Statements

Full title :Integrable Hamiltonian systems on complex Lie groups / V. Jurdjevic.

Edition Statements

Publication Date:2005.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, R.I
Language:eng
Publication Date:2005.

Notes

"Volume 178, number 838 (second of 5 numbers)."

The Physical Object

Description:viii, 133 pages : : illustrations ; : 26 cm.

Edition Identifiers

ISBN:0821837648, 9780821837641
oclc:ocm61169854
LC Classification:QA3
Dewey Decimal:510 s

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.

Subjects

31.30 topological groups, Lie-groups 31.46 functional analysis Groupes de Lie Grupos de Lie Hamiltonian systems Hamiltonianen Hamiltonsches System Lie groups Lie-groepen Lie-Gruppe Manifolds Manifolds (Mathematics) Mannigfaltigkeit Sistemas hamiltonianos Systèmes hamiltoniens Variétés (Mathématiques)