Central charges in regular mechanics
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We consider the algebra associated to a group of transformations which are symmetries of a regular mechanical system (i.e. system free of constraints). For time dependent coordinate transformations we show that a central extension may appear at the classical level which is coordinate and momentum independent. A cochain formalism naturally arises in the argument and extends the usual configuration space cochain concepts to phase space.
LaTeX, no figures, corrected for misprints, sent to Annals of Physics(NY)
LaTeX, no figures, corrected for misprints, sent to Annals of Physics(NY)