Completely integrable Hamiltonian systems on semidirect sums of Lie algebras
Journal Article
·
· Sbornik. Mathematics
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
The complete integrability of Hamiltonian systems arising on Lie algebras which have the form of a direct sum is investigated. For algebras in these classes Sadetov's method takes a simpler form: the isomorphism between the algebra arising at the second step of Sadetov's approach and the stationary subalgebra of a generic element can be written out explicitly. The explicit form of this isomorphism is presented, as well as explicit formulae for polynomials in complete systems for the algebras so(n)+(R{sup n}){sub k}, su(n)+(C{sup n}){sub k} and u(n)+(C{sup n}){sub k}. For the algebras so(n)+R{sup n} the degrees of the resulting polynomial functions are analysed. Bibliography: 15 titles.
- OSTI ID:
- 21301606
- Journal Information:
- Sbornik. Mathematics, Vol. 200, Issue 5; Other Information: DOI: 10.1070/SM2009v200n05ABEH004012; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Invariants of Lie algebras representable as semidirect sums with a commutative ideal
Simple algebras and Drinfeld doubles
Realization of infinite dimensional Lie-admissible algebras
Journal Article
·
Mon Aug 31 00:00:00 EDT 2009
· Sbornik. Mathematics
·
OSTI ID:21301606
Simple algebras and Drinfeld doubles
Journal Article
·
Thu May 15 00:00:00 EDT 2008
· Physics of Atomic Nuclei
·
OSTI ID:21301606
Realization of infinite dimensional Lie-admissible algebras
Conference
·
Sat Dec 01 00:00:00 EST 1979
· Hadronic J.; (United States)
·
OSTI ID:21301606