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MiS Preprint
66/2005

Classification of infinitesimal symmetries in covariant classical mechanics

Marco Modugno, Dirk Saller and Jürgen Tolksdorf

Abstract

In the framework of general relativistic classical mechanics on a spacetime with absolute time, we classify the infinitesimal symmetries of the classical structure by means of distinguished Lie subalgebras of the Lie algebra of "special phase functions"".

These subalgebras are crucial also for the classification of infinitesimal quantum symmetries, which will be analysed in a forthcoming paper.

Received:
Jun 24, 2005
Published:
Jun 24, 2005
MSC Codes:
17B26, 17B81, 37J05, 37J15, 58A20
Keywords:
covariant classical mechanics, lie algebras and symmetries, jets, cosymplectic manifolds

Related publications

inJournal
2006 Repository Open Access
Marco Modugno, Dirk Saller and Jürgen Tolksdorf

Classification of infinitesimal symmetries in covariant classical mechanics

In: Journal of mathematical physics, 47 (2006) 6, p. 062903