UNSPECIFIED (2000) Note on semisymplectic actions of Lie groups. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 330 (12). pp. 1079-1084. ISSN 0764-4442

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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. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Publisher:	EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
ISSN:	0764-4442
Date:	15 June 2000
Volume:	330
Number:	12
Number of Pages:	6
Page Range:	pp. 1079-1084
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/13050

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