Note on semisymplectic actions of Lie groups

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• 作者：Montaldi ; James ; Roberts ; Mark
• 刊名：Comptes Rendus de l'Academie des Sciences Series I Mathematics
• 出版年：2000
• 期刊代码：10_07644442
• 类别：mt
• 出版时间：June 15, 2000
• 卷：330
• 期：1
• 页码：1079-1084
• 文件大小：154 K

摘要

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.