Abstract
A semisymplectic action of a Lie groups on a symplectic manifold is one where each element of the group acts either symplectically or antisymplectically. We find conditions that a semisymplectic action descends to an action on the symplectic reduced spaces. We consider a few examples, and in particular apply these ideas to reduction of N-body systems with Galilean invariance. © 2000 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
| Translated title of the contribution | Note on semisymplectic actions of Lie groups |
|---|---|
| Original language | French |
| Pages (from-to) | 1079-1084 |
| Number of pages | 5 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 330 |
| Issue number | 12 |
| Publication status | Published - 15 Jun 2000 |