Abstract
Momentum mapping of an autonomous, real linear Hamiltonian system is determined by its set of quadratic integrals. Such a system can be identified with an element of the real symplectic algebra and its quadratic integrals correspond to the centralizer of this element inside the symplectic algebra. In this paper, using a new set of normal forms for the elements of the real symplectic algebra, we compute their centralizers explicitly.
Original language | English (US) |
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Pages (from-to) | 53-63 |
Number of pages | 11 |
Journal | Monatshefte für Mathematik |
Volume | 98 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1 1984 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)