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- W2040554996 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. Une action semi-symplectique d'un groupe de Lie sur une variété symplectique est une action dont les éléments du groupe agissent de façon symplectique ou antisymplectique. Pour un sous-groupe distingué K de Ĝ qui agit de façon hamiltonienne, on trouve des conditions pour qu' un sous-groupe de Ĝ/K agisse de façon semi-symplectique sur un espace réduit Pμ par K. On applique ce résultat surtout aux systèmes à N-corps de symétrie galiléenne." @default.
- W2040554996 created "2016-06-24" @default.
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- W2040554996 date "2000-06-01" @default.
- W2040554996 modified "2023-09-25" @default.
- W2040554996 title "Note on semisymplectic actions of Lie groups" @default.
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- W2040554996 doi "https://doi.org/10.1016/s0764-4442(00)00322-0" @default.
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