|
|||||
|
|
Induced and coinduced Banach Lie–Poisson spaces and integrability |
|
| Authors: | Anatol Odzijewicz Tudor S. Ratiu |
| Affiliation: | aInstitute of Mathematics, University of Bialystok, Lipowa 41, PL-15424 Bialystok, Poland;bSection de Mathématiques and Bernoulli Center, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland |
| Abstract: | The Poisson induction and coinduction procedures are used to construct Banach Lie–Poisson spaces as well as related systems of integrals in involution. This general method applied to the Banach Lie–Poisson space of trace class operators leads to infinite Hamiltonian systems of k-diagonal trace class operators which have infinitely many integrals. The bidiagonal case is investigated in detail. |
| Keywords: | Banach Lie– Poisson space Induction Coinduction Momentum map Coadjoint orbit Integrable Hamiltonian system |
| 本文献已被 ScienceDirect 等数据库收录！ | |