%0 Journal Article %T Noncentral extensions as anomalies in classical dynamical systems %A Jorge E. Solomin %A Marcela Zuccalli %J Mathematics %D 2003 %I arXiv %R 10.2991/jnmp.2003.10.1.1 %X A two cocycle is associated to any action of a Lie group on a symplectic manifold. This allows to enlarge the concept of anomaly in classical dynamical systems considered by F. Toppan [in J. Nonlinear Math. Phys. 8, no.3 (2001) 518-533] so as to encompass some extensions of Lie algebras related to noncanonical actions. %U http://arxiv.org/abs/math/0309099v1