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Note on semisymplectic actions of Lie groups
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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 | ||||
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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 | ||||
Official Date: | 15 June 2000 | ||||
Dates: |
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Volume: | 330 | ||||
Number: | 12 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 1079-1084 | ||||
Publication Status: | Published |
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